%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : ITP058^2 : TPTP v9.3.1. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n007.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Sep 30 08:10:32 AM UTC 2026
% Result : Theorem 12.59s 2.09s
% Output : Refutation 12.59s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ITP058^2 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.20 % Computer : n007.cluster.edu
% 0.10/0.20 % Model : x86_64 x86_64
% 0.10/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.20 % Memory : 8046.5625MB
% 0.10/0.20 % OS : Linux 6.8.0-71-generic
% 0.10/0.20 % CPULimit : 300
% 0.10/0.20 % WCLimit : 300
% 0.10/0.20 % DateTime : Tue Sep 29 19:42:41 UTC 2026
% 0.10/0.20 % CPUTime :
% 0.10/0.20 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.23 Running first-order model finding
% 0.10/0.23 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 5.49/1.05 % (3824698)Will run a generic schedule for satisfiability detection.
% 5.49/1.05 % (3824724)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3868677869:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 5.49/1.05 % (3824720)% WARNING: option uhcvi not known.
% 5.49/1.05 % (3824719)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=52906028_2999 on theBenchmark for (2999ds/0Mi)
% 5.49/1.05 % (3824720)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1991660836:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 5.49/1.05 % (3824723)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2819739090:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 5.49/1.05 % (3824721)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1919215250:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 5.49/1.05 % (3824722)dis+10_1_sil=32000:sp=arity:random_seed=1670470057:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 5.49/1.05 % (3824725)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3158091631:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 5.49/1.05 % (3824720)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 5.49/1.05 % (3824723)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 5.49/1.05 % (3824724)Instruction limit reached!
% 5.49/1.05 % (3824724)------------------------------
% 5.49/1.05 % (3824724)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.49/1.05 % (3824724)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.49/1.05 % (3824724)CaDiCaL version: 2.1.3
% 5.49/1.05 % (3824724)Termination reason: Instruction limit
% 5.49/1.05 % (3824724)Termination phase: Saturation
% 5.49/1.05 % (3824724)Time elapsed: 0.030 s
% 5.49/1.05 % (3824724)Peak memory usage: 12 MB
% 5.49/1.05 % (3824724)Instructions burned: 135 (million)
% 5.49/1.05 % (3824754)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=3034961991:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 5.49/1.05 % (3824722)Instruction limit reached!
% 5.49/1.05 % (3824722)------------------------------
% 5.49/1.05 % (3824722)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.49/1.05 % (3824722)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.49/1.05 % (3824722)CaDiCaL version: 2.1.3
% 5.49/1.05 % (3824722)Termination reason: Instruction limit
% 5.49/1.05 % (3824722)Termination phase: Function definition elimination
% 5.49/1.05 % (3824722)Time elapsed: 0.044 s
% 5.49/1.05 % (3824722)Peak memory usage: 11 MB
% 5.49/1.05 % (3824722)Instructions burned: 104 (million)
% 5.49/1.05 % (3824723)Instruction limit reached!
% 5.49/1.05 % (3824723)------------------------------
% 5.49/1.05 % (3824723)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.49/1.05 % (3824723)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.49/1.05 % (3824723)CaDiCaL version: 2.1.3
% 5.49/1.05 % (3824723)Termination reason: Instruction limit
% 5.49/1.05 % (3824723)Termination phase: Property scanning
% 5.49/1.05 % (3824723)Time elapsed: 0.050 s
% 5.49/1.05 % (3824723)Peak memory usage: 12 MB
% 5.49/1.05 % (3824723)Instructions burned: 118 (million)
% 5.49/1.05 % Exception at run slice level
% 5.49/1.05 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 5.49/1.05 % (3824720)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 5.49/1.05 % (3824771)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=931809216:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 5.49/1.05 % Exception at run slice level
% 5.49/1.05 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 5.49/1.05 % (3824774)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=2846284374:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 5.49/1.05 % (3824725)Instruction limit reached!
% 5.49/1.05 % (3824725)------------------------------
% 5.49/1.05 % (3824725)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.49/1.05 % (3824725)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.49/1.05 % (3824725)CaDiCaL version: 2.1.3
% 5.49/1.05 % (3824725)Termination reason: Instruction limit
% 12.59/2.09 % (3824725)Termination phase: Saturation
% 12.59/2.09 % (3824725)Time elapsed: 0.069 s
% 12.59/2.09 % (3824725)Peak memory usage: 13 MB
% 12.59/2.09 % (3824725)Instructions burned: 160 (million)
% 12.59/2.09 % (3824780)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=4055166819:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 12.59/2.09 % (3824775)ott-21_1_sil=16000:fs=off:random_seed=1107485325:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 12.59/2.09 % (3824783)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=3530403540:fmbsr=1.3:i=865:ins=25_2998 on theBenchmark for (2998ds/865Mi)
% 12.59/2.09 % (3824774)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 12.59/2.09 % (3824771)Instruction limit reached!
% 12.59/2.09 % (3824771)------------------------------
% 12.59/2.09 % (3824771)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.59/2.09 % (3824771)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.59/2.09 % (3824771)CaDiCaL version: 2.1.3
% 12.59/2.09 % (3824771)Termination reason: Instruction limit
% 12.59/2.09 % (3824771)Termination phase: Property scanning
% 12.59/2.09 % (3824771)Time elapsed: 0.056 s
% 12.59/2.09 % (3824771)Peak memory usage: 12 MB
% 12.59/2.09 % (3824771)Instructions burned: 133 (million)
% 12.59/2.09 % (3824774)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 12.59/2.09 % (3824787)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=747743280:i=1179_2998 on theBenchmark for (2998ds/1179Mi)
% 12.59/2.09 % Exception at run slice level
% 12.59/2.09 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 12.59/2.09 % (3824775)Instruction limit reached!
% 12.59/2.09 % (3824775)------------------------------
% 12.59/2.09 % (3824775)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.59/2.09 % (3824775)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.59/2.09 % (3824775)CaDiCaL version: 2.1.3
% 12.59/2.09 % (3824775)Termination reason: Instruction limit
% 12.59/2.09 % (3824775)Termination phase: Saturation
% 12.59/2.09 % (3824775)Time elapsed: 0.078 s
% 12.59/2.09 % (3824775)Peak memory usage: 14 MB
% 12.59/2.09 % (3824775)Instructions burned: 182 (million)
% 12.59/2.09 % (3824789)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=2543361197:i=889:ins=1_2997 on theBenchmark for (2997ds/889Mi)
% 12.59/2.09 % (3824790)ott+1_16_sil=32000:plsq=on:plsqc=2:sas=cadical:avsql=on:sp=reverse_frequency:plsqr=128,1:bsr=unit_only:rp=on:newcnf=on:random_seed=3385547632:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2997 on theBenchmark for (2997ds/692Mi)
% 12.59/2.09 % (3824790)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 12.59/2.09 % (3824780)Instruction limit reached!
% 12.59/2.09 % (3824780)------------------------------
% 12.59/2.09 % (3824780)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.59/2.09 % (3824780)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.59/2.09 % (3824780)CaDiCaL version: 2.1.3
% 12.59/2.09 % (3824780)Termination reason: Instruction limit
% 12.59/2.09 % (3824780)Termination phase: Saturation
% 12.59/2.09 % (3824780)Time elapsed: 0.135 s
% 12.59/2.09 % (3824780)Peak memory usage: 15 MB
% 12.59/2.09 % (3824780)Instructions burned: 481 (million)
% 12.59/2.09 % (3824793)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=1067108590:i=879:kws=inv_precedence:fsr=off_2997 on theBenchmark for (2997ds/879Mi)
% 12.59/2.09 % Exception at run slice level
% 12.59/2.09 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 12.59/2.09 % (3824793)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 12.59/2.09 % (3824795)fmb+10_1_sil=64000:random_seed=276046450:i=22061:nm=2:gsp=on_2997 on theBenchmark for (2997ds/22061Mi)
% 12.59/2.09 % (3824795)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 12.59/2.09 % Exception at run slice level
% 12.59/2.09 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 12.59/2.09 % (3824797)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=3627883631:i=9515:nm=5_2996 on theBenchmark for (2996ds/9515Mi)
% 12.59/2.09 % Exception at run slice level
% 12.59/2.09 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 12.59/2.09 % (3824799)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=1511272813:fmbsr=1.7:i=920_2995 on theBenchmark for (2995ds/920Mi)
% 12.59/2.09 % (3824774)Instruction limit reached!
% 12.59/2.09 % (3824774)------------------------------
% 12.59/2.09 % (3824774)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.59/2.09 % (3824774)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.59/2.09 % (3824774)CaDiCaL version: 2.1.3
% 12.59/2.09 % (3824774)Termination reason: Instruction limit
% 12.59/2.09 % (3824774)Termination phase: Saturation
% 12.59/2.09 % (3824774)Time elapsed: 0.336 s
% 12.59/2.09 % (3824774)Peak memory usage: 17 MB
% 12.59/2.09 % (3824774)Instructions burned: 684 (million)
% 12.59/2.09 % (3824801)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=510419280:i=5131_2995 on theBenchmark for (2995ds/5131Mi)
% 12.59/2.09 % (3824801)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 12.59/2.09 % Exception at run slice level
% 12.59/2.09 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 12.59/2.09 % (3824793)Instruction limit reached!
% 12.59/2.09 % (3824793)------------------------------
% 12.59/2.09 % (3824793)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.59/2.09 % (3824793)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.59/2.09 % (3824793)CaDiCaL version: 2.1.3
% 12.59/2.09 % (3824793)Termination reason: Instruction limit
% 12.59/2.09 % (3824793)Termination phase: Saturation
% 12.59/2.09 % (3824793)Time elapsed: 0.239 s
% 12.59/2.09 % (3824793)Peak memory usage: 19 MB
% 12.59/2.09 % (3824793)Instructions burned: 880 (million)
% 12.59/2.09 % (3824804)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=4107048444:i=6324_2994 on theBenchmark for (2994ds/6324Mi)
% 12.59/2.09 % (3824803)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=1747438649:i=1472:ins=7:fdi=8:gsp=on_2994 on theBenchmark for (2994ds/1472Mi)
% 12.59/2.09 % Exception at run slice level
% 12.59/2.09 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 12.59/2.09 % (3824790)Instruction limit reached!
% 12.59/2.09 % (3824790)------------------------------
% 12.59/2.09 % (3824790)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.59/2.09 % (3824790)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.59/2.09 % (3824790)CaDiCaL version: 2.1.3
% 12.59/2.09 % (3824790)Termination reason: Instruction limit
% 12.59/2.09 % (3824790)Termination phase: Saturation
% 12.59/2.09 % (3824790)Time elapsed: 0.344 s
% 12.59/2.09 % (3824790)Peak memory usage: 18 MB
% 12.59/2.09 % (3824790)Instructions burned: 693 (million)
% 12.59/2.09 % (3824807)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=1641356092:fmbsr=2.30978:i=2174_2994 on theBenchmark for (2994ds/2174Mi)
% 12.59/2.09 % (3824803)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 12.59/2.09 % (3824803)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 12.59/2.09 % (3824808)ott-2_1_sil=16000:newcnf=on:random_seed=2645293794:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2994 on theBenchmark for (2994ds/869Mi)
% 12.59/2.09 % Exception at run slice level
% 12.59/2.09 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 12.59/2.09 % (3824808)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 12.59/2.09 % (3824811)ott+10_1_sil=32000:tgt=ground:random_seed=3594448589:i=5114:av=off_2993 on theBenchmark for (2993ds/5114Mi)
% 12.59/2.09 % (3824787)Instruction limit reached!
% 12.59/2.09 % (3824787)------------------------------
% 12.59/2.09 % (3824787)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.59/2.09 % (3824787)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.59/2.09 % (3824787)CaDiCaL version: 2.1.3
% 12.59/2.09 % (3824787)Termination reason: Instruction limit
% 12.59/2.09 % (3824787)Termination phase: Saturation
% 12.59/2.09 % (3824787)Time elapsed: 0.588 s
% 12.59/2.09 % (3824787)Peak memory usage: 21 MB
% 12.59/2.09 % (3824787)Instructions burned: 1180 (million)
% 12.59/2.09 % (3824813)fmb+10_1_sil=64000:sas=cadical:bce=on:rp=on:random_seed=1548456958:i=54282_2992 on theBenchmark for (2992ds/54282Mi)
% 12.59/2.09 % Exception at run slice level
% 12.59/2.09 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 12.59/2.09 % (3824815)dis-11_1_sil=16000:sp=reverse_frequency:alpa=true:random_seed=4203745997:i=3512:aac=none_2991 on theBenchmark for (2991ds/3512Mi)
% 12.59/2.09 % (3824815)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 12.59/2.09 % (3824808)Instruction limit reached!
% 12.59/2.09 % (3824808)------------------------------
% 12.59/2.09 % (3824808)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.59/2.09 % (3824808)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.59/2.09 % (3824808)CaDiCaL version: 2.1.3
% 12.59/2.09 % (3824808)Termination reason: Instruction limit
% 12.59/2.09 % (3824808)Termination phase: Saturation
% 12.59/2.09 % (3824808)Time elapsed: 0.350 s
% 12.59/2.09 % (3824808)Peak memory usage: 16 MB
% 12.59/2.09 % (3824808)Instructions burned: 871 (million)
% 12.59/2.09 % (3824817)dis+21_1_sil=32000:sas=cadical:random_seed=4209451403:i=3773:amm=off_2990 on theBenchmark for (2990ds/3773Mi)
% 12.59/2.09 % (3824803)Instruction limit reached!
% 12.59/2.09 % (3824803)------------------------------
% 12.59/2.09 % (3824803)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.59/2.09 % (3824803)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.59/2.09 % (3824803)CaDiCaL version: 2.1.3
% 12.59/2.09 % (3824803)Termination reason: Instruction limit
% 12.59/2.09 % (3824803)Termination phase: Saturation
% 12.59/2.09 % (3824803)Time elapsed: 0.725 s
% 12.59/2.09 % (3824803)Peak memory usage: 20 MB
% 12.59/2.09 % (3824803)Instructions burned: 1473 (million)
% 12.59/2.09 % (3824819)ott+11_1_sil=16000:gs=on:random_seed=3372953153:s2a=on:i=2251:s2at=3:kws=inv_arity_squared:nm=2:fsr=off:fsd=on_2987 on theBenchmark for (2987ds/2251Mi)
% 12.59/2.09 % (3824819)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 12.59/2.09 % (3824819) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3824698-3824819"...
% 12.59/2.09 % (3824819)...printing done.
% 12.59/2.09 % (3824819)Refutation found. Thanks to Tanya!
% 12.59/2.09 % SZS status Theorem for theBenchmark
% 12.59/2.09 % SZS output start Proof for theBenchmark
% 12.59/2.09 thf(type_def_5, type, configuration_ext: ($tType * $tType * $tType * $tType) > $tType).
% 12.59/2.09 thf(type_def_6, type, messageValue: $tType > $tType).
% 12.59/2.09 thf(type_def_7, type, message: ($tType * $tType) > $tType).
% 12.59/2.09 thf(type_def_8, type, product_unit: $tType).
% 12.59/2.09 thf(type_def_9, type, list: $tType > $tType).
% 12.59/2.09 thf(type_def_10, type, set: $tType > $tType).
% 12.59/2.09 thf(type_def_11, type, nat: $tType).
% 12.59/2.09 thf(type_def_12, type, v: $tType).
% 12.59/2.09 thf(type_def_13, type, s: $tType).
% 12.59/2.09 thf(type_def_14, type, p: $tType).
% 12.59/2.09 thf(type_def_15, type, sTfun: ($tType * $tType) > $tType).
% 12.59/2.09 thf(func_def_0, type, type: !>[X0: $tType]:($o)).
% 12.59/2.09 thf(func_def_1, type, size: !>[X0: $tType]:($o)).
% 12.59/2.09 thf(func_def_2, type, zero: !>[X0: $tType]:($o)).
% 12.59/2.09 thf(func_def_3, type, ord: !>[X0: $tType]:($o)).
% 12.59/2.09 thf(func_def_4, type, order: !>[X0: $tType]:($o)).
% 12.59/2.09 thf(func_def_5, type, group_add: !>[X0: $tType]:($o)).
% 12.59/2.09 thf(func_def_6, type, semiring_1: !>[X0: $tType]:($o)).
% 12.59/2.09 thf(func_def_7, type, linorder: !>[X0: $tType]:($o)).
% 12.59/2.09 thf(func_def_8, type, semiring_char_0: !>[X0: $tType]:($o)).
% 12.59/2.09 thf(func_def_9, type, wellorder: !>[X0: $tType]:($o)).
% 12.59/2.09 thf(func_def_10, type, comm_monoid_diff: !>[X0: $tType]:($o)).
% 12.59/2.09 thf(func_def_11, type, ordered_ab_group_add: !>[X0: $tType]:($o)).
% 12.59/2.09 thf(func_def_12, type, cancel1352612707id_add: !>[X0: $tType]:($o)).
% 12.59/2.09 thf(func_def_13, type, cancel146912293up_add: !>[X0: $tType]:($o)).
% 12.59/2.09 thf(func_def_14, type, linord1659791738miring: !>[X0: $tType]:($o)).
% 12.59/2.09 thf(func_def_15, type, canoni770627133id_add: !>[X0: $tType]:($o)).
% 12.59/2.09 thf(func_def_16, type, flpSystem: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > X1 > messageValue @ X2 > message @ X0 @ X2 > nat) > $o))).
% 12.59/2.09 thf(func_def_17, type, fLPThe1922692578sensus: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > X1 > messageValue @ X2 > X1) > (X0 > X1 > messageValue @ X2 > message @ X0 @ X2 > nat) > (X0 > X1) > $o))).
% 12.59/2.09 thf(func_def_18, type, fLPThe137922386ionCfg: !>[X0: $tType, X1: $tType, X2: $tType]:((configuration_ext @ X0 @ X1 @ X2 @ product_unit > (list @ configuration_ext @ X0 @ X1 @ X2 @ product_unit > list @ message @ X0 @ X1 > list @ configuration_ext @ X0 @ X1 @ X2 @ product_unit) > (list @ configuration_ext @ X0 @ X1 @ X2 @ product_unit > list @ message @ X0 @ X1 > list @ message @ X0 @ X1) > nat > list @ configuration_ext @ X0 @ X1 @ X2 @ product_unit))).
% 12.59/2.09 thf(func_def_19, type, fLPThe221390223ionMsg: !>[X0: $tType, X1: $tType, X2: $tType]:((configuration_ext @ X0 @ X1 @ X2 @ product_unit > (list @ configuration_ext @ X0 @ X1 @ X2 @ product_unit > list @ message @ X0 @ X1 > list @ configuration_ext @ X0 @ X1 @ X2 @ product_unit) > (list @ configuration_ext @ X0 @ X1 @ X2 @ product_unit > list @ message @ X0 @ X1 > list @ message @ X0 @ X1) > nat > list @ message @ X0 @ X1))).
% 12.59/2.09 thf(func_def_20, type, fLPThe128449925axioms: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > X1 > messageValue @ X2 > X1) > (X0 > X1 > messageValue @ X2 > message @ X0 @ X2 > nat) > (X0 > X1) > $o))).
% 12.59/2.09 thf(func_def_21, type, minus_minus: !>[X0: $tType]:((X0 > X0 > X0))).
% 12.59/2.09 thf(func_def_22, type, zero_zero: !>[X0: $tType]:(X0)).
% 12.59/2.09 thf(func_def_23, type, arg_min_list: !>[X0: $tType, X1: $tType]:(((X0 > X1) > list @ X0 > X0))).
% 12.59/2.09 thf(func_def_24, type, bind: !>[X0: $tType, X1: $tType]:((list @ X0 > (X0 > list @ X1) > list @ X1))).
% 12.59/2.09 thf(func_def_25, type, count_list: !>[X0: $tType]:((list @ X0 > X0 > nat))).
% 12.59/2.09 thf(func_def_26, type, gen_length: !>[X0: $tType]:((nat > list @ X0 > nat))).
% 12.59/2.09 thf(func_def_27, type, insert: !>[X0: $tType]:((X0 > list @ X0 > list @ X0))).
% 12.59/2.09 thf(func_def_28, type, cons: !>[X0: $tType]:((X0 > list @ X0 > list @ X0))).
% 12.59/2.09 thf(func_def_29, type, nil: !>[X0: $tType]:(list @ X0)).
% 12.59/2.09 thf(func_def_30, type, list_ex1: !>[X0: $tType]:(((X0 > $o) > list @ X0 > $o))).
% 12.59/2.09 thf(func_def_31, type, listrelp: !>[X0: $tType, X1: $tType]:(((X0 > X1 > $o) > list @ X0 > list @ X1 > $o))).
% 12.59/2.09 thf(func_def_32, type, map_tailrec_rev: !>[X0: $tType, X1: $tType]:(((X0 > X1) > list @ X0 > list @ X1 > list @ X1))).
% 12.59/2.09 thf(func_def_33, type, member: !>[X0: $tType]:((list @ X0 > X0 > $o))).
% 12.59/2.09 thf(func_def_34, type, n_lists: !>[X0: $tType]:((nat > list @ X0 > list @ list @ X0))).
% 12.59/2.09 thf(func_def_35, type, nths: !>[X0: $tType]:((list @ X0 > set @ nat > list @ X0))).
% 12.59/2.09 thf(func_def_36, type, lexordp_eq: !>[X0: $tType]:(((X0 > X0 > $o) > list @ X0 > list @ X0 > $o))).
% 12.59/2.09 thf(func_def_37, type, ord_lexordp: !>[X0: $tType]:((list @ X0 > list @ X0 > $o))).
% 12.59/2.09 thf(func_def_38, type, ord_lexordp_eq: !>[X0: $tType]:((list @ X0 > list @ X0 > $o))).
% 12.59/2.09 thf(func_def_39, type, product_lists: !>[X0: $tType]:((list @ list @ X0 > list @ list @ X0))).
% 12.59/2.09 thf(func_def_40, type, splice: !>[X0: $tType]:((list @ X0 > list @ X0 > list @ X0))).
% 12.59/2.09 thf(func_def_41, type, subseqs: !>[X0: $tType]:((list @ X0 > list @ list @ X0))).
% 12.59/2.09 thf(func_def_42, type, suc: (nat > nat)).
% 12.59/2.09 thf(func_def_43, type, semiring_1_of_nat: !>[X0: $tType]:((nat > X0))).
% 12.59/2.09 thf(func_def_44, type, semiri532925092at_aux: !>[X0: $tType]:(((X0 > X0) > nat > X0 > X0))).
% 12.59/2.09 thf(func_def_45, type, size_size: !>[X0: $tType]:((X0 > nat))).
% 12.59/2.09 thf(func_def_46, type, ord_less: !>[X0: $tType]:((X0 > X0 > $o))).
% 12.59/2.09 thf(func_def_47, type, collect: !>[X0: $tType]:(((X0 > $o) > set @ X0))).
% 12.59/2.09 thf(func_def_48, type, member2: !>[X0: $tType]:((X0 > set @ X0 > $o))).
% 12.59/2.09 thf(func_def_49, type, cfg: configuration_ext @ p @ v @ s @ product_unit).
% 12.59/2.09 thf(func_def_50, type, fStepCfg: (list @ configuration_ext @ p @ v @ s @ product_unit > list @ message @ p @ v > list @ configuration_ext @ p @ v @ s @ product_unit)).
% 12.59/2.09 thf(func_def_51, type, fStepMsg: (list @ configuration_ext @ p @ v @ s @ product_unit > list @ message @ p @ v > list @ message @ p @ v)).
% 12.59/2.09 thf(func_def_52, type, fe: (nat > list @ configuration_ext @ p @ v @ s @ product_unit)).
% 12.59/2.09 thf(func_def_53, type, ft: (nat > list @ message @ p @ v)).
% 12.59/2.09 thf(func_def_55, type, vEQ: !>[X0: $tType]:((X0 > X0 > $o))).
% 12.59/2.09 thf(func_def_56, type, vAND: ($o > $o > $o)).
% 12.59/2.09 thf(func_def_59, type, vNOT: ($o > $o)).
% 12.59/2.09 thf(func_def_60, type, vSIGMA: !>[X0: $tType]:(((X0 > $o) > $o))).
% 12.59/2.09 thf(func_def_61, type, db0: !>[X0: $tType]:(X0)).
% 12.59/2.09 thf(func_def_62, type, db1: !>[X0: $tType]:(X0)).
% 12.59/2.09 thf(func_def_63, type, vLAM: !>[X0: $tType, X1: $tType]:((X1) > (X0 > X1))).
% 12.59/2.09 thf(func_def_64, type, vOR: ($o > $o > $o)).
% 12.59/2.09 thf(func_def_65, type, db2: !>[X0: $tType]:(X0)).
% 12.59/2.09 thf(func_def_66, type, db5: !>[X0: $tType]:(X0)).
% 12.59/2.09 thf(func_def_67, type, db3: !>[X0: $tType]:(X0)).
% 12.59/2.09 thf(func_def_68, type, db4: !>[X0: $tType]:(X0)).
% 12.59/2.09 thf(func_def_69, type, db6: !>[X0: $tType]:(X0)).
% 12.59/2.09 thf(func_def_70, type, vPI: !>[X0: $tType]:(((X0 > $o) > $o))).
% 12.59/2.09 thf(func_def_71, type, vIMP: ($o > $o > $o)).
% 12.59/2.09 thf(func_def_72, type, sP0: !>[X0: $tType]:(((list @ X0 > $o) > $o))).
% 12.59/2.09 thf(func_def_73, type, sP1: !>[X0: $tType]:(((list @ X0 > $o) > $o))).
% 12.59/2.09 thf(func_def_74, type, sP2: !>[X0: $tType]:(((list @ X0 > $o) > $o))).
% 12.59/2.09 thf(func_def_75, type, sP3: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > $o))).
% 12.59/2.09 thf(func_def_76, type, sP4: (nat > configuration_ext @ p @ v @ s @ product_unit > list @ configuration_ext @ p @ v @ s @ product_unit > $o)).
% 12.59/2.09 thf(func_def_77, type, sP5: (nat > list @ message @ p @ v > $o)).
% 12.59/2.09 thf(func_def_78, type, sP6: ((configuration_ext @ p @ v @ s @ product_unit > (list @ configuration_ext @ p @ v @ s @ product_unit > list @ message @ p @ v > list @ configuration_ext @ p @ v @ s @ product_unit) > (list @ configuration_ext @ p @ v @ s @ product_unit > list @ message @ p @ v > list @ message @ p @ v) > nat > $o) > (configuration_ext @ p @ v @ s @ product_unit > (list @ configuration_ext @ p @ v @ s @ product_unit > list @ message @ p @ v > list @ configuration_ext @ p @ v @ s @ product_unit) > (list @ configuration_ext @ p @ v @ s @ product_unit > list @ message @ p @ v > list @ message @ p @ v) > nat > $o) > $o)).
% 12.59/2.09 thf(func_def_79, type, sP7: ((configuration_ext @ p @ v @ s @ product_unit > (list @ configuration_ext @ p @ v @ s @ product_unit > list @ message @ p @ v > list @ configuration_ext @ p @ v @ s @ product_unit) > (list @ configuration_ext @ p @ v @ s @ product_unit > list @ message @ p @ v > list @ message @ p @ v) > nat > $o) > (configuration_ext @ p @ v @ s @ product_unit > (list @ configuration_ext @ p @ v @ s @ product_unit > list @ message @ p @ v > list @ configuration_ext @ p @ v @ s @ product_unit) > (list @ configuration_ext @ p @ v @ s @ product_unit > list @ message @ p @ v > list @ message @ p @ v) > nat > $o) > $o)).
% 12.59/2.09 thf(func_def_80, type, sP8: ((configuration_ext @ p @ v @ s @ product_unit > (list @ configuration_ext @ p @ v @ s @ product_unit > list @ message @ p @ v > list @ configuration_ext @ p @ v @ s @ product_unit) > (list @ configuration_ext @ p @ v @ s @ product_unit > list @ message @ p @ v > list @ message @ p @ v) > nat > $o) > (configuration_ext @ p @ v @ s @ product_unit > (list @ configuration_ext @ p @ v @ s @ product_unit > list @ message @ p @ v > list @ configuration_ext @ p @ v @ s @ product_unit) > (list @ configuration_ext @ p @ v @ s @ product_unit > list @ message @ p @ v > list @ message @ p @ v) > nat > $o) > $o)).
% 12.59/2.09 thf(func_def_81, type, sP9: ((configuration_ext @ p @ v @ s @ product_unit > (list @ configuration_ext @ p @ v @ s @ product_unit > list @ message @ p @ v > list @ configuration_ext @ p @ v @ s @ product_unit) > (list @ configuration_ext @ p @ v @ s @ product_unit > list @ message @ p @ v > list @ message @ p @ v) > nat > $o) > (configuration_ext @ p @ v @ s @ product_unit > (list @ configuration_ext @ p @ v @ s @ product_unit > list @ message @ p @ v > list @ configuration_ext @ p @ v @ s @ product_unit) > (list @ configuration_ext @ p @ v @ s @ product_unit > list @ message @ p @ v > list @ message @ p @ v) > nat > $o) > $o)).
% 12.59/2.09 thf(func_def_82, type, sP10: !>[X0: $tType, X1: $tType, X2: $tType]:(((configuration_ext @ X1 @ X0 @ X2 @ product_unit > (list @ configuration_ext @ X1 @ X0 @ X2 @ product_unit > list @ message @ X1 @ X0 > list @ configuration_ext @ X1 @ X0 @ X2 @ product_unit) > (list @ configuration_ext @ X1 @ X0 @ X2 @ product_unit > list @ message @ X1 @ X0 > list @ message @ X1 @ X0) > nat > $o) > (configuration_ext @ X1 @ X0 @ X2 @ product_unit > (list @ configuration_ext @ X1 @ X0 @ X2 @ product_unit > list @ message @ X1 @ X0 > list @ configuration_ext @ X1 @ X0 @ X2 @ product_unit) > (list @ configuration_ext @ X1 @ X0 @ X2 @ product_unit > list @ message @ X1 @ X0 > list @ message @ X1 @ X0) > nat > $o) > $o))).
% 12.59/2.09 thf(func_def_83, type, sP11: !>[X0: $tType, X1: $tType, X2: $tType]:(((configuration_ext @ X1 @ X0 @ X2 @ product_unit > (list @ configuration_ext @ X1 @ X0 @ X2 @ product_unit > list @ message @ X1 @ X0 > list @ configuration_ext @ X1 @ X0 @ X2 @ product_unit) > (list @ configuration_ext @ X1 @ X0 @ X2 @ product_unit > list @ message @ X1 @ X0 > list @ message @ X1 @ X0) > nat > $o) > (configuration_ext @ X1 @ X0 @ X2 @ product_unit > (list @ configuration_ext @ X1 @ X0 @ X2 @ product_unit > list @ message @ X1 @ X0 > list @ configuration_ext @ X1 @ X0 @ X2 @ product_unit) > (list @ configuration_ext @ X1 @ X0 @ X2 @ product_unit > list @ message @ X1 @ X0 > list @ message @ X1 @ X0) > nat > $o) > $o))).
% 12.59/2.09 thf(func_def_84, type, sP12: !>[X0: $tType, X1: $tType, X2: $tType]:(((configuration_ext @ X1 @ X0 @ X2 @ product_unit > (list @ configuration_ext @ X1 @ X0 @ X2 @ product_unit > list @ message @ X1 @ X0 > list @ configuration_ext @ X1 @ X0 @ X2 @ product_unit) > (list @ configuration_ext @ X1 @ X0 @ X2 @ product_unit > list @ message @ X1 @ X0 > list @ message @ X1 @ X0) > nat > $o) > (configuration_ext @ X1 @ X0 @ X2 @ product_unit > (list @ configuration_ext @ X1 @ X0 @ X2 @ product_unit > list @ message @ X1 @ X0 > list @ configuration_ext @ X1 @ X0 @ X2 @ product_unit) > (list @ configuration_ext @ X1 @ X0 @ X2 @ product_unit > list @ message @ X1 @ X0 > list @ message @ X1 @ X0) > nat > $o) > $o))).
% 12.59/2.09 thf(func_def_85, type, sP13: !>[X0: $tType, X1: $tType, X2: $tType]:(((configuration_ext @ X1 @ X0 @ X2 @ product_unit > (list @ configuration_ext @ X1 @ X0 @ X2 @ product_unit > list @ message @ X1 @ X0 > list @ configuration_ext @ X1 @ X0 @ X2 @ product_unit) > (list @ configuration_ext @ X1 @ X0 @ X2 @ product_unit > list @ message @ X1 @ X0 > list @ message @ X1 @ X0) > nat > $o) > (configuration_ext @ X1 @ X0 @ X2 @ product_unit > (list @ configuration_ext @ X1 @ X0 @ X2 @ product_unit > list @ message @ X1 @ X0 > list @ configuration_ext @ X1 @ X0 @ X2 @ product_unit) > (list @ configuration_ext @ X1 @ X0 @ X2 @ product_unit > list @ message @ X1 @ X0 > list @ message @ X1 @ X0) > nat > $o) > $o))).
% 12.59/2.09 thf(func_def_86, type, sP14: !>[X0: $tType, X1: $tType]:((nat > list @ message @ X1 @ X0 > $o))).
% 12.59/2.09 thf(func_def_87, type, sP15: !>[X0: $tType, X1: $tType, X2: $tType]:((nat > configuration_ext @ X2 @ X1 @ X0 @ product_unit > list @ configuration_ext @ X2 @ X1 @ X0 @ product_unit > $o))).
% 12.59/2.09 thf(func_def_88, type, sP16: !>[X0: $tType]:(((nat > X0 > $o) > (nat > X0 > X0 > $o) > $o))).
% 12.59/2.09 thf(func_def_89, type, sP17: !>[X0: $tType, X1: $tType]:((list @ X1 > list @ X0 > list @ X0 > $o))).
% 12.59/2.09 thf(func_def_90, type, sP18: !>[X0: $tType, X1: $tType]:((list @ X0 > X1 > X0 > (X1 > X0 > $o) > list @ X1 > $o))).
% 12.59/2.09 thf(func_def_91, type, sP19: !>[X0: $tType, X1: $tType]:((list @ X1 > list @ X0 > $o))).
% 12.59/2.09 thf(func_def_92, type, sP20: !>[X0: $tType, X1: $tType]:(((X1 > X0 > $o) > (list @ X1 > list @ X0 > $o) > $o))).
% 12.59/2.09 thf(func_def_93, type, sP21: !>[X0: $tType]:(((X0 > X0 > $o) > (list @ X0 > list @ X0 > $o) > $o))).
% 12.59/2.09 thf(func_def_94, type, sP22: !>[X0: $tType]:((list @ X0 > (X0 > X0 > $o) > X0 > $o))).
% 12.59/2.09 thf(func_def_95, type, sP23: !>[X0: $tType]:((list @ X0 > X0 > X0 > (X0 > X0 > $o) > list @ X0 > $o))).
% 12.59/2.09 thf(func_def_96, type, sP24: !>[X0: $tType]:((list @ X0 > list @ X0 > (X0 > X0 > $o) > $o))).
% 12.59/2.09 thf(func_def_97, type, sP25: !>[X0: $tType]:((list @ X0 > X0 > $o))).
% 12.59/2.09 thf(func_def_98, type, sP26: !>[X0: $tType]:((list @ X0 > X0 > X0 > list @ X0 > $o))).
% 12.59/2.09 thf(func_def_99, type, sP27: !>[X0: $tType]:((list @ X0 > list @ X0 > $o))).
% 12.59/2.09 thf(func_def_100, type, sP28: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > $o))).
% 12.59/2.09 thf(func_def_101, type, sP29: !>[X0: $tType]:((list @ X0 > list @ X0 > list @ X0 > $o))).
% 12.59/2.09 thf(func_def_102, type, sP30: !>[X0: $tType]:(((X0 > nat) > (X0 > $o) > $o))).
% 12.59/2.09 thf(func_def_103, type, sP31: ((nat > $o) > $o)).
% 12.59/2.09 thf(func_def_104, type, sP32: ((nat > nat > $o) > $o)).
% 12.59/2.09 thf(func_def_105, type, sP33: (nat > (nat > $o) > $o)).
% 12.59/2.09 thf(func_def_106, type, sP34: (nat > (nat > $o) > $o)).
% 12.59/2.09 thf(func_def_107, type, sP35: !>[X0: $tType]:((list @ X0 > X0 > $o))).
% 12.59/2.09 thf(func_def_108, type, sP36: !>[X0: $tType]:((list @ X0 > X0 > X0 > list @ X0 > $o))).
% 12.59/2.09 thf(func_def_109, type, sP37: !>[X0: $tType]:((list @ X0 > list @ X0 > $o))).
% 12.59/2.09 thf(func_def_110, type, sP38: !>[X0: $tType]:((list @ X0 > list @ X0 > $o))).
% 12.59/2.09 thf(func_def_111, type, sP39: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > $o))).
% 12.59/2.09 thf(func_def_112, type, sP40: !>[X0: $tType]:((list @ X0 > X0 > $o))).
% 12.59/2.09 thf(func_def_113, type, sP41: !>[X0: $tType]:((X0 > list @ X0 > list @ X0 > $o))).
% 12.59/2.09 thf(func_def_114, type, sP42: !>[X0: $tType]:((list @ X0 > list @ X0 > $o))).
% 12.59/2.09 thf(func_def_115, type, sP43: !>[X0: $tType]:((list @ X0 > list @ X0 > $o))).
% 12.59/2.09 thf(func_def_116, type, sP44: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > $o))).
% 12.59/2.09 thf(func_def_117, type, sP45: !>[X0: $tType, X1: $tType]:(((list @ X1 > list @ X0 > $o) > $o))).
% 12.59/2.09 thf(func_def_118, type, sP46: !>[X0: $tType, X1: $tType, X2: $tType]:(((list @ X2 > list @ X1 > list @ X0 > $o) > $o))).
% 12.59/2.09 thf(func_def_119, type, sK47: !>[X0: $tType]:((list @ X0 > X0))).
% 12.59/2.09 thf(func_def_120, type, sK48: !>[X0: $tType]:((list @ X0 > list @ X0))).
% 12.59/2.09 thf(func_def_121, type, sK49: !>[X0: $tType]:(((list @ X0 > $o) > X0))).
% 12.59/2.09 thf(func_def_122, type, sK50: !>[X0: $tType]:(((list @ X0 > $o) > list @ X0))).
% 12.59/2.09 thf(func_def_123, type, sK51: !>[X0: $tType, X1: $tType]:(((list @ X0 > list @ X1 > $o) > X0))).
% 12.59/2.09 thf(func_def_124, type, sK52: !>[X0: $tType, X1: $tType]:(((list @ X0 > list @ X1 > $o) > list @ X0))).
% 12.59/2.09 thf(func_def_125, type, sK53: !>[X0: $tType, X1: $tType]:(((list @ X0 > list @ X1 > $o) > X1))).
% 12.59/2.09 thf(func_def_126, type, sK54: !>[X0: $tType, X1: $tType]:(((list @ X0 > list @ X1 > $o) > list @ X1))).
% 12.59/2.09 thf(func_def_127, type, sK55: !>[X0: $tType, X1: $tType]:(((list @ X0 > list @ X1 > $o) > X1))).
% 12.59/2.09 thf(func_def_128, type, sK56: !>[X0: $tType, X1: $tType]:(((list @ X0 > list @ X1 > $o) > list @ X1))).
% 12.59/2.09 thf(func_def_129, type, sK57: !>[X0: $tType, X1: $tType]:(((list @ X0 > list @ X1 > $o) > X0))).
% 12.59/2.09 thf(func_def_130, type, sK58: !>[X0: $tType, X1: $tType]:(((list @ X0 > list @ X1 > $o) > list @ X0))).
% 12.59/2.09 thf(func_def_131, type, sK59: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > X0))).
% 12.59/2.09 thf(func_def_132, type, sK60: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > list @ X0))).
% 12.59/2.09 thf(func_def_133, type, sK61: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > list @ X0))).
% 12.59/2.09 thf(func_def_134, type, sK62: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > list @ X0))).
% 12.59/2.09 thf(func_def_135, type, sK63: !>[X0: $tType]:(((list @ X0 > $o) > X0))).
% 12.59/2.09 thf(func_def_136, type, sK64: !>[X0: $tType]:(((list @ X0 > $o) > X0))).
% 12.59/2.09 thf(func_def_137, type, sK65: !>[X0: $tType]:(((list @ X0 > $o) > list @ X0))).
% 12.59/2.09 thf(func_def_138, type, sK66: !>[X0: $tType]:(((list @ X0 > $o) > X0))).
% 12.59/2.09 thf(func_def_139, type, sK67: !>[X0: $tType]:((list @ X0 > X0))).
% 12.59/2.09 thf(func_def_140, type, sK68: !>[X0: $tType]:((list @ X0 > list @ X0))).
% 12.59/2.09 thf(func_def_141, type, sK69: !>[X0: $tType]:(((list @ X0 > $o) > X0))).
% 12.59/2.09 thf(func_def_142, type, sK70: !>[X0: $tType]:(((list @ X0 > $o) > list @ X0))).
% 12.59/2.09 thf(func_def_143, type, sK71: !>[X0: $tType]:(((list @ X0 > $o) > X0))).
% 12.59/2.09 thf(func_def_144, type, sK72: !>[X0: $tType]:(((list @ X0 > $o) > list @ X0))).
% 12.59/2.09 thf(func_def_145, type, sK73: !>[X0: $tType]:((list @ X0 > X0))).
% 12.59/2.09 thf(func_def_146, type, sK74: !>[X0: $tType]:((list @ X0 > list @ X0))).
% 12.59/2.09 thf(func_def_147, type, sK75: !>[X0: $tType, X1: $tType]:((((X0 > X1) > list @ X0 > list @ X1 > $o) > X0 > X1))).
% 12.59/2.09 thf(func_def_148, type, sK76: !>[X0: $tType, X1: $tType]:((((X0 > X1) > list @ X0 > list @ X1 > $o) > X0))).
% 12.59/2.09 thf(func_def_149, type, sK77: !>[X0: $tType, X1: $tType]:((((X0 > X1) > list @ X0 > list @ X1 > $o) > list @ X0))).
% 12.59/2.09 thf(func_def_150, type, sK78: !>[X0: $tType, X1: $tType]:((((X0 > X1) > list @ X0 > list @ X1 > $o) > list @ X1))).
% 12.59/2.09 thf(func_def_151, type, sK79: !>[X0: $tType, X1: $tType]:((((X0 > X1) > list @ X0 > list @ X1 > $o) > X0 > X1))).
% 12.59/2.09 thf(func_def_152, type, sK80: !>[X0: $tType, X1: $tType]:((((X0 > X1) > list @ X0 > list @ X1 > $o) > list @ X1))).
% 12.59/2.09 thf(func_def_153, type, sK81: !>[X0: $tType]:(((list @ X0 > $o) > X0))).
% 12.59/2.09 thf(func_def_154, type, sK82: !>[X0: $tType]:(((list @ X0 > $o) > list @ X0))).
% 12.59/2.09 thf(func_def_155, type, sK83: !>[X0: $tType]:(((list @ X0 > $o) > X0))).
% 12.59/2.09 thf(func_def_156, type, sK84: !>[X0: $tType]:((((X0 > X0 > $o) > list @ X0 > $o) > X0 > X0 > $o))).
% 12.59/2.09 thf(func_def_157, type, sK85: !>[X0: $tType]:((((X0 > X0 > $o) > list @ X0 > $o) > X0))).
% 12.59/2.09 thf(func_def_158, type, sK86: !>[X0: $tType]:((((X0 > X0 > $o) > list @ X0 > $o) > X0))).
% 12.59/2.09 thf(func_def_159, type, sK87: !>[X0: $tType]:((((X0 > X0 > $o) > list @ X0 > $o) > list @ X0))).
% 12.59/2.09 thf(func_def_160, type, sK88: !>[X0: $tType]:((((X0 > X0 > $o) > list @ X0 > $o) > X0 > X0 > $o))).
% 12.59/2.09 thf(func_def_161, type, sK89: !>[X0: $tType]:((((X0 > X0 > $o) > list @ X0 > $o) > X0))).
% 12.59/2.09 thf(func_def_162, type, sK90: !>[X0: $tType]:((((X0 > X0 > $o) > list @ X0 > $o) > X0 > X0 > $o))).
% 12.59/2.09 thf(func_def_163, type, sK91: !>[X0: $tType, X1: $tType]:((((X1 > X0) > list @ X1 > $o) > X1 > X0))).
% 12.59/2.09 thf(func_def_164, type, sK92: !>[X0: $tType, X1: $tType]:((((X1 > X0) > list @ X1 > $o) > X1 > X0))).
% 12.59/2.09 thf(func_def_165, type, sK93: !>[X0: $tType, X1: $tType]:((((X1 > X0) > list @ X1 > $o) > X1))).
% 12.59/2.09 thf(func_def_166, type, sK94: !>[X0: $tType, X1: $tType]:((((X1 > X0) > list @ X1 > $o) > X1))).
% 12.59/2.09 thf(func_def_167, type, sK95: !>[X0: $tType, X1: $tType]:((((X1 > X0) > list @ X1 > $o) > list @ X1))).
% 12.59/2.09 thf(func_def_168, type, sK96: !>[X0: $tType, X1: $tType]:((((X1 > X0) > list @ X1 > $o) > X1 > X0))).
% 12.59/2.09 thf(func_def_169, type, sK97: !>[X0: $tType, X1: $tType]:((((X1 > X0) > list @ X1 > $o) > X1))).
% 12.59/2.09 thf(func_def_170, type, sK98: !>[X0: $tType]:(((list @ X0 > $o) > X0))).
% 12.59/2.09 thf(func_def_171, type, sK99: !>[X0: $tType]:(((list @ X0 > $o) > X0))).
% 12.59/2.09 thf(func_def_172, type, sK100: !>[X0: $tType]:(((list @ X0 > $o) > list @ X0))).
% 12.59/2.09 thf(func_def_173, type, sK101: !>[X0: $tType]:(((list @ X0 > $o) > X0))).
% 12.59/2.09 thf(func_def_174, type, sK102: !>[X0: $tType]:((((X0 > X0 > $o) > list @ X0 > $o) > X0 > X0 > $o))).
% 12.59/2.09 thf(func_def_175, type, sK103: !>[X0: $tType]:((((X0 > X0 > $o) > list @ X0 > $o) > X0))).
% 12.59/2.09 thf(func_def_176, type, sK104: !>[X0: $tType]:((((X0 > X0 > $o) > list @ X0 > $o) > list @ X0))).
% 12.59/2.09 thf(func_def_177, type, sK105: !>[X0: $tType]:((((X0 > X0 > $o) > list @ X0 > $o) > X0 > X0 > $o))).
% 12.59/2.09 thf(func_def_178, type, sK106: !>[X0: $tType]:((list @ X0 > X0))).
% 12.59/2.09 thf(func_def_179, type, sK107: !>[X0: $tType]:((list @ X0 > X0))).
% 12.59/2.09 thf(func_def_180, type, sK108: !>[X0: $tType]:((list @ X0 > list @ X0))).
% 12.59/2.09 thf(func_def_181, type, sK109: !>[X0: $tType]:((list @ X0 > X0))).
% 12.59/2.09 thf(func_def_182, type, sK110: !>[X0: $tType]:((list @ list @ X0 > X0))).
% 12.59/2.09 thf(func_def_183, type, sK111: !>[X0: $tType]:((list @ list @ X0 > list @ X0))).
% 12.59/2.09 thf(func_def_184, type, sK112: !>[X0: $tType]:((list @ list @ X0 > list @ list @ X0))).
% 12.59/2.09 thf(func_def_185, type, sK113: !>[X0: $tType]:((list @ list @ X0 > list @ list @ X0))).
% 12.59/2.09 thf(func_def_186, type, sK114: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > X0))).
% 12.59/2.09 thf(func_def_187, type, sK115: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > list @ X0))).
% 12.59/2.09 thf(func_def_188, type, sK116: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > X0))).
% 12.59/2.09 thf(func_def_189, type, sK117: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > list @ X0))).
% 12.59/2.09 thf(func_def_190, type, sK118: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > list @ X0))).
% 12.59/2.09 thf(func_def_191, type, sK119: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > list @ X0))).
% 12.59/2.09 thf(func_def_192, type, sK120: (list @ configuration_ext @ p @ v @ s @ product_unit > nat > (list @ configuration_ext @ p @ v @ s @ product_unit > list @ message @ p @ v > list @ message @ p @ v) > (list @ configuration_ext @ p @ v @ s @ product_unit > list @ message @ p @ v > list @ configuration_ext @ p @ v @ s @ product_unit) > configuration_ext @ p @ v @ s @ product_unit > nat)).
% 12.59/2.09 thf(func_def_193, type, sK121: (list @ message @ p @ v > nat > (list @ configuration_ext @ p @ v @ s @ product_unit > list @ message @ p @ v > list @ message @ p @ v) > (list @ configuration_ext @ p @ v @ s @ product_unit > list @ message @ p @ v > list @ configuration_ext @ p @ v @ s @ product_unit) > configuration_ext @ p @ v @ s @ product_unit > nat)).
% 12.59/2.09 thf(func_def_194, type, sK122: ((configuration_ext @ p @ v @ s @ product_unit > (list @ configuration_ext @ p @ v @ s @ product_unit > list @ message @ p @ v > list @ configuration_ext @ p @ v @ s @ product_unit) > (list @ configuration_ext @ p @ v @ s @ product_unit > list @ message @ p @ v > list @ message @ p @ v) > nat > $o) > (configuration_ext @ p @ v @ s @ product_unit > (list @ configuration_ext @ p @ v @ s @ product_unit > list @ message @ p @ v > list @ configuration_ext @ p @ v @ s @ product_unit) > (list @ configuration_ext @ p @ v @ s @ product_unit > list @ message @ p @ v > list @ message @ p @ v) > nat > $o) > configuration_ext @ p @ v @ s @ product_unit)).
% 12.59/2.09 thf(func_def_195, type, sK123: ((configuration_ext @ p @ v @ s @ product_unit > (list @ configuration_ext @ p @ v @ s @ product_unit > list @ message @ p @ v > list @ configuration_ext @ p @ v @ s @ product_unit) > (list @ configuration_ext @ p @ v @ s @ product_unit > list @ message @ p @ v > list @ message @ p @ v) > nat > $o) > (configuration_ext @ p @ v @ s @ product_unit > (list @ configuration_ext @ p @ v @ s @ product_unit > list @ message @ p @ v > list @ configuration_ext @ p @ v @ s @ product_unit) > (list @ configuration_ext @ p @ v @ s @ product_unit > list @ message @ p @ v > list @ message @ p @ v) > nat > $o) > list @ configuration_ext @ p @ v @ s @ product_unit > list @ message @ p @ v > list @ configuration_ext @ p @ v @ s @ product_unit)).
% 12.59/2.09 thf(func_def_196, type, sK124: ((configuration_ext @ p @ v @ s @ product_unit > (list @ configuration_ext @ p @ v @ s @ product_unit > list @ message @ p @ v > list @ configuration_ext @ p @ v @ s @ product_unit) > (list @ configuration_ext @ p @ v @ s @ product_unit > list @ message @ p @ v > list @ message @ p @ v) > nat > $o) > (configuration_ext @ p @ v @ s @ product_unit > (list @ configuration_ext @ p @ v @ s @ product_unit > list @ message @ p @ v > list @ configuration_ext @ p @ v @ s @ product_unit) > (list @ configuration_ext @ p @ v @ s @ product_unit > list @ message @ p @ v > list @ message @ p @ v) > nat > $o) > list @ configuration_ext @ p @ v @ s @ product_unit > list @ message @ p @ v > list @ message @ p @ v)).
% 12.59/2.09 thf(func_def_197, type, sK125: ((configuration_ext @ p @ v @ s @ product_unit > (list @ configuration_ext @ p @ v @ s @ product_unit > list @ message @ p @ v > list @ configuration_ext @ p @ v @ s @ product_unit) > (list @ configuration_ext @ p @ v @ s @ product_unit > list @ message @ p @ v > list @ message @ p @ v) > nat > $o) > (configuration_ext @ p @ v @ s @ product_unit > (list @ configuration_ext @ p @ v @ s @ product_unit > list @ message @ p @ v > list @ configuration_ext @ p @ v @ s @ product_unit) > (list @ configuration_ext @ p @ v @ s @ product_unit > list @ message @ p @ v > list @ message @ p @ v) > nat > $o) > nat)).
% 12.59/2.09 thf(func_def_198, type, sK126: ((configuration_ext @ p @ v @ s @ product_unit > (list @ configuration_ext @ p @ v @ s @ product_unit > list @ message @ p @ v > list @ configuration_ext @ p @ v @ s @ product_unit) > (list @ configuration_ext @ p @ v @ s @ product_unit > list @ message @ p @ v > list @ message @ p @ v) > nat > $o) > (configuration_ext @ p @ v @ s @ product_unit > (list @ configuration_ext @ p @ v @ s @ product_unit > list @ message @ p @ v > list @ configuration_ext @ p @ v @ s @ product_unit) > (list @ configuration_ext @ p @ v @ s @ product_unit > list @ message @ p @ v > list @ message @ p @ v) > nat > $o) > configuration_ext @ p @ v @ s @ product_unit)).
% 12.59/2.09 thf(func_def_199, type, sK127: ((configuration_ext @ p @ v @ s @ product_unit > (list @ configuration_ext @ p @ v @ s @ product_unit > list @ message @ p @ v > list @ configuration_ext @ p @ v @ s @ product_unit) > (list @ configuration_ext @ p @ v @ s @ product_unit > list @ message @ p @ v > list @ message @ p @ v) > nat > $o) > (configuration_ext @ p @ v @ s @ product_unit > (list @ configuration_ext @ p @ v @ s @ product_unit > list @ message @ p @ v > list @ configuration_ext @ p @ v @ s @ product_unit) > (list @ configuration_ext @ p @ v @ s @ product_unit > list @ message @ p @ v > list @ message @ p @ v) > nat > $o) > list @ configuration_ext @ p @ v @ s @ product_unit > list @ message @ p @ v > list @ configuration_ext @ p @ v @ s @ product_unit)).
% 12.59/2.09 thf(func_def_200, type, sK128: ((configuration_ext @ p @ v @ s @ product_unit > (list @ configuration_ext @ p @ v @ s @ product_unit > list @ message @ p @ v > list @ configuration_ext @ p @ v @ s @ product_unit) > (list @ configuration_ext @ p @ v @ s @ product_unit > list @ message @ p @ v > list @ message @ p @ v) > nat > $o) > (configuration_ext @ p @ v @ s @ product_unit > (list @ configuration_ext @ p @ v @ s @ product_unit > list @ message @ p @ v > list @ configuration_ext @ p @ v @ s @ product_unit) > (list @ configuration_ext @ p @ v @ s @ product_unit > list @ message @ p @ v > list @ message @ p @ v) > nat > $o) > list @ configuration_ext @ p @ v @ s @ product_unit > list @ message @ p @ v > list @ message @ p @ v)).
% 12.59/2.09 thf(func_def_201, type, sK129: ((configuration_ext @ p @ v @ s @ product_unit > (list @ configuration_ext @ p @ v @ s @ product_unit > list @ message @ p @ v > list @ configuration_ext @ p @ v @ s @ product_unit) > (list @ configuration_ext @ p @ v @ s @ product_unit > list @ message @ p @ v > list @ message @ p @ v) > nat > $o) > (configuration_ext @ p @ v @ s @ product_unit > (list @ configuration_ext @ p @ v @ s @ product_unit > list @ message @ p @ v > list @ configuration_ext @ p @ v @ s @ product_unit) > (list @ configuration_ext @ p @ v @ s @ product_unit > list @ message @ p @ v > list @ message @ p @ v) > nat > $o) > nat)).
% 12.59/2.09 thf(func_def_202, type, sK130: ((configuration_ext @ p @ v @ s @ product_unit > (list @ configuration_ext @ p @ v @ s @ product_unit > list @ message @ p @ v > list @ configuration_ext @ p @ v @ s @ product_unit) > (list @ configuration_ext @ p @ v @ s @ product_unit > list @ message @ p @ v > list @ message @ p @ v) > nat > $o) > configuration_ext @ p @ v @ s @ product_unit)).
% 12.59/2.09 thf(func_def_203, type, sK131: ((configuration_ext @ p @ v @ s @ product_unit > (list @ configuration_ext @ p @ v @ s @ product_unit > list @ message @ p @ v > list @ configuration_ext @ p @ v @ s @ product_unit) > (list @ configuration_ext @ p @ v @ s @ product_unit > list @ message @ p @ v > list @ message @ p @ v) > nat > $o) > list @ configuration_ext @ p @ v @ s @ product_unit > list @ message @ p @ v > list @ configuration_ext @ p @ v @ s @ product_unit)).
% 12.59/2.09 thf(func_def_204, type, sK132: ((configuration_ext @ p @ v @ s @ product_unit > (list @ configuration_ext @ p @ v @ s @ product_unit > list @ message @ p @ v > list @ configuration_ext @ p @ v @ s @ product_unit) > (list @ configuration_ext @ p @ v @ s @ product_unit > list @ message @ p @ v > list @ message @ p @ v) > nat > $o) > list @ configuration_ext @ p @ v @ s @ product_unit > list @ message @ p @ v > list @ message @ p @ v)).
% 12.59/2.09 thf(func_def_205, type, sK133: ((configuration_ext @ p @ v @ s @ product_unit > (list @ configuration_ext @ p @ v @ s @ product_unit > list @ message @ p @ v > list @ configuration_ext @ p @ v @ s @ product_unit) > (list @ configuration_ext @ p @ v @ s @ product_unit > list @ message @ p @ v > list @ message @ p @ v) > nat > $o) > configuration_ext @ p @ v @ s @ product_unit)).
% 12.59/2.09 thf(func_def_206, type, sK134: ((configuration_ext @ p @ v @ s @ product_unit > (list @ configuration_ext @ p @ v @ s @ product_unit > list @ message @ p @ v > list @ configuration_ext @ p @ v @ s @ product_unit) > (list @ configuration_ext @ p @ v @ s @ product_unit > list @ message @ p @ v > list @ message @ p @ v) > nat > $o) > list @ configuration_ext @ p @ v @ s @ product_unit > list @ message @ p @ v > list @ configuration_ext @ p @ v @ s @ product_unit)).
% 12.59/2.09 thf(func_def_207, type, sK135: ((configuration_ext @ p @ v @ s @ product_unit > (list @ configuration_ext @ p @ v @ s @ product_unit > list @ message @ p @ v > list @ configuration_ext @ p @ v @ s @ product_unit) > (list @ configuration_ext @ p @ v @ s @ product_unit > list @ message @ p @ v > list @ message @ p @ v) > nat > $o) > list @ configuration_ext @ p @ v @ s @ product_unit > list @ message @ p @ v > list @ message @ p @ v)).
% 12.59/2.09 thf(func_def_208, type, sK136: ((configuration_ext @ p @ v @ s @ product_unit > (list @ configuration_ext @ p @ v @ s @ product_unit > list @ message @ p @ v > list @ configuration_ext @ p @ v @ s @ product_unit) > (list @ configuration_ext @ p @ v @ s @ product_unit > list @ message @ p @ v > list @ message @ p @ v) > nat > $o) > (configuration_ext @ p @ v @ s @ product_unit > (list @ configuration_ext @ p @ v @ s @ product_unit > list @ message @ p @ v > list @ configuration_ext @ p @ v @ s @ product_unit) > (list @ configuration_ext @ p @ v @ s @ product_unit > list @ message @ p @ v > list @ message @ p @ v) > nat > $o) > configuration_ext @ p @ v @ s @ product_unit)).
% 12.59/2.09 thf(func_def_209, type, sK137: ((configuration_ext @ p @ v @ s @ product_unit > (list @ configuration_ext @ p @ v @ s @ product_unit > list @ message @ p @ v > list @ configuration_ext @ p @ v @ s @ product_unit) > (list @ configuration_ext @ p @ v @ s @ product_unit > list @ message @ p @ v > list @ message @ p @ v) > nat > $o) > (configuration_ext @ p @ v @ s @ product_unit > (list @ configuration_ext @ p @ v @ s @ product_unit > list @ message @ p @ v > list @ configuration_ext @ p @ v @ s @ product_unit) > (list @ configuration_ext @ p @ v @ s @ product_unit > list @ message @ p @ v > list @ message @ p @ v) > nat > $o) > list @ configuration_ext @ p @ v @ s @ product_unit > list @ message @ p @ v > list @ configuration_ext @ p @ v @ s @ product_unit)).
% 12.59/2.09 thf(func_def_210, type, sK138: ((configuration_ext @ p @ v @ s @ product_unit > (list @ configuration_ext @ p @ v @ s @ product_unit > list @ message @ p @ v > list @ configuration_ext @ p @ v @ s @ product_unit) > (list @ configuration_ext @ p @ v @ s @ product_unit > list @ message @ p @ v > list @ message @ p @ v) > nat > $o) > (configuration_ext @ p @ v @ s @ product_unit > (list @ configuration_ext @ p @ v @ s @ product_unit > list @ message @ p @ v > list @ configuration_ext @ p @ v @ s @ product_unit) > (list @ configuration_ext @ p @ v @ s @ product_unit > list @ message @ p @ v > list @ message @ p @ v) > nat > $o) > list @ configuration_ext @ p @ v @ s @ product_unit > list @ message @ p @ v > list @ message @ p @ v)).
% 12.59/2.09 thf(func_def_211, type, sK139: ((configuration_ext @ p @ v @ s @ product_unit > (list @ configuration_ext @ p @ v @ s @ product_unit > list @ message @ p @ v > list @ configuration_ext @ p @ v @ s @ product_unit) > (list @ configuration_ext @ p @ v @ s @ product_unit > list @ message @ p @ v > list @ message @ p @ v) > nat > $o) > (configuration_ext @ p @ v @ s @ product_unit > (list @ configuration_ext @ p @ v @ s @ product_unit > list @ message @ p @ v > list @ configuration_ext @ p @ v @ s @ product_unit) > (list @ configuration_ext @ p @ v @ s @ product_unit > list @ message @ p @ v > list @ message @ p @ v) > nat > $o) > nat)).
% 12.59/2.09 thf(func_def_212, type, sK140: ((configuration_ext @ p @ v @ s @ product_unit > (list @ configuration_ext @ p @ v @ s @ product_unit > list @ message @ p @ v > list @ configuration_ext @ p @ v @ s @ product_unit) > (list @ configuration_ext @ p @ v @ s @ product_unit > list @ message @ p @ v > list @ message @ p @ v) > nat > $o) > (configuration_ext @ p @ v @ s @ product_unit > (list @ configuration_ext @ p @ v @ s @ product_unit > list @ message @ p @ v > list @ configuration_ext @ p @ v @ s @ product_unit) > (list @ configuration_ext @ p @ v @ s @ product_unit > list @ message @ p @ v > list @ message @ p @ v) > nat > $o) > configuration_ext @ p @ v @ s @ product_unit)).
% 12.59/2.09 thf(func_def_213, type, sK141: ((configuration_ext @ p @ v @ s @ product_unit > (list @ configuration_ext @ p @ v @ s @ product_unit > list @ message @ p @ v > list @ configuration_ext @ p @ v @ s @ product_unit) > (list @ configuration_ext @ p @ v @ s @ product_unit > list @ message @ p @ v > list @ message @ p @ v) > nat > $o) > (configuration_ext @ p @ v @ s @ product_unit > (list @ configuration_ext @ p @ v @ s @ product_unit > list @ message @ p @ v > list @ configuration_ext @ p @ v @ s @ product_unit) > (list @ configuration_ext @ p @ v @ s @ product_unit > list @ message @ p @ v > list @ message @ p @ v) > nat > $o) > list @ configuration_ext @ p @ v @ s @ product_unit > list @ message @ p @ v > list @ configuration_ext @ p @ v @ s @ product_unit)).
% 12.59/2.09 thf(func_def_214, type, sK142: ((configuration_ext @ p @ v @ s @ product_unit > (list @ configuration_ext @ p @ v @ s @ product_unit > list @ message @ p @ v > list @ configuration_ext @ p @ v @ s @ product_unit) > (list @ configuration_ext @ p @ v @ s @ product_unit > list @ message @ p @ v > list @ message @ p @ v) > nat > $o) > (configuration_ext @ p @ v @ s @ product_unit > (list @ configuration_ext @ p @ v @ s @ product_unit > list @ message @ p @ v > list @ configuration_ext @ p @ v @ s @ product_unit) > (list @ configuration_ext @ p @ v @ s @ product_unit > list @ message @ p @ v > list @ message @ p @ v) > nat > $o) > list @ configuration_ext @ p @ v @ s @ product_unit > list @ message @ p @ v > list @ message @ p @ v)).
% 12.59/2.09 thf(func_def_215, type, sK143: ((configuration_ext @ p @ v @ s @ product_unit > (list @ configuration_ext @ p @ v @ s @ product_unit > list @ message @ p @ v > list @ configuration_ext @ p @ v @ s @ product_unit) > (list @ configuration_ext @ p @ v @ s @ product_unit > list @ message @ p @ v > list @ message @ p @ v) > nat > $o) > (configuration_ext @ p @ v @ s @ product_unit > (list @ configuration_ext @ p @ v @ s @ product_unit > list @ message @ p @ v > list @ configuration_ext @ p @ v @ s @ product_unit) > (list @ configuration_ext @ p @ v @ s @ product_unit > list @ message @ p @ v > list @ message @ p @ v) > nat > $o) > nat)).
% 12.59/2.09 thf(func_def_216, type, sK144: ((configuration_ext @ p @ v @ s @ product_unit > (list @ configuration_ext @ p @ v @ s @ product_unit > list @ message @ p @ v > list @ configuration_ext @ p @ v @ s @ product_unit) > (list @ configuration_ext @ p @ v @ s @ product_unit > list @ message @ p @ v > list @ message @ p @ v) > nat > $o) > configuration_ext @ p @ v @ s @ product_unit)).
% 12.59/2.09 thf(func_def_217, type, sK145: ((configuration_ext @ p @ v @ s @ product_unit > (list @ configuration_ext @ p @ v @ s @ product_unit > list @ message @ p @ v > list @ configuration_ext @ p @ v @ s @ product_unit) > (list @ configuration_ext @ p @ v @ s @ product_unit > list @ message @ p @ v > list @ message @ p @ v) > nat > $o) > list @ configuration_ext @ p @ v @ s @ product_unit > list @ message @ p @ v > list @ configuration_ext @ p @ v @ s @ product_unit)).
% 12.59/2.09 thf(func_def_218, type, sK146: ((configuration_ext @ p @ v @ s @ product_unit > (list @ configuration_ext @ p @ v @ s @ product_unit > list @ message @ p @ v > list @ configuration_ext @ p @ v @ s @ product_unit) > (list @ configuration_ext @ p @ v @ s @ product_unit > list @ message @ p @ v > list @ message @ p @ v) > nat > $o) > list @ configuration_ext @ p @ v @ s @ product_unit > list @ message @ p @ v > list @ message @ p @ v)).
% 12.59/2.09 thf(func_def_219, type, sK147: ((configuration_ext @ p @ v @ s @ product_unit > (list @ configuration_ext @ p @ v @ s @ product_unit > list @ message @ p @ v > list @ configuration_ext @ p @ v @ s @ product_unit) > (list @ configuration_ext @ p @ v @ s @ product_unit > list @ message @ p @ v > list @ message @ p @ v) > nat > $o) > configuration_ext @ p @ v @ s @ product_unit)).
% 12.59/2.09 thf(func_def_220, type, sK148: ((configuration_ext @ p @ v @ s @ product_unit > (list @ configuration_ext @ p @ v @ s @ product_unit > list @ message @ p @ v > list @ configuration_ext @ p @ v @ s @ product_unit) > (list @ configuration_ext @ p @ v @ s @ product_unit > list @ message @ p @ v > list @ message @ p @ v) > nat > $o) > list @ configuration_ext @ p @ v @ s @ product_unit > list @ message @ p @ v > list @ configuration_ext @ p @ v @ s @ product_unit)).
% 12.59/2.09 thf(func_def_221, type, sK149: ((configuration_ext @ p @ v @ s @ product_unit > (list @ configuration_ext @ p @ v @ s @ product_unit > list @ message @ p @ v > list @ configuration_ext @ p @ v @ s @ product_unit) > (list @ configuration_ext @ p @ v @ s @ product_unit > list @ message @ p @ v > list @ message @ p @ v) > nat > $o) > list @ configuration_ext @ p @ v @ s @ product_unit > list @ message @ p @ v > list @ message @ p @ v)).
% 12.59/2.09 thf(func_def_222, type, sK150: !>[X0: $tType, X1: $tType, X2: $tType]:(((configuration_ext @ X1 @ X0 @ X2 @ product_unit > (list @ configuration_ext @ X1 @ X0 @ X2 @ product_unit > list @ message @ X1 @ X0 > list @ configuration_ext @ X1 @ X0 @ X2 @ product_unit) > (list @ configuration_ext @ X1 @ X0 @ X2 @ product_unit > list @ message @ X1 @ X0 > list @ message @ X1 @ X0) > nat > $o) > (configuration_ext @ X1 @ X0 @ X2 @ product_unit > (list @ configuration_ext @ X1 @ X0 @ X2 @ product_unit > list @ message @ X1 @ X0 > list @ configuration_ext @ X1 @ X0 @ X2 @ product_unit) > (list @ configuration_ext @ X1 @ X0 @ X2 @ product_unit > list @ message @ X1 @ X0 > list @ message @ X1 @ X0) > nat > $o) > configuration_ext @ X1 @ X0 @ X2 @ product_unit))).
% 12.59/2.09 thf(func_def_223, type, sK151: !>[X0: $tType, X1: $tType, X2: $tType]:(((configuration_ext @ X1 @ X0 @ X2 @ product_unit > (list @ configuration_ext @ X1 @ X0 @ X2 @ product_unit > list @ message @ X1 @ X0 > list @ configuration_ext @ X1 @ X0 @ X2 @ product_unit) > (list @ configuration_ext @ X1 @ X0 @ X2 @ product_unit > list @ message @ X1 @ X0 > list @ message @ X1 @ X0) > nat > $o) > (configuration_ext @ X1 @ X0 @ X2 @ product_unit > (list @ configuration_ext @ X1 @ X0 @ X2 @ product_unit > list @ message @ X1 @ X0 > list @ configuration_ext @ X1 @ X0 @ X2 @ product_unit) > (list @ configuration_ext @ X1 @ X0 @ X2 @ product_unit > list @ message @ X1 @ X0 > list @ message @ X1 @ X0) > nat > $o) > list @ configuration_ext @ X1 @ X0 @ X2 @ product_unit > list @ message @ X1 @ X0 > list @ configuration_ext @ X1 @ X0 @ X2 @ product_unit))).
% 12.59/2.09 thf(func_def_224, type, sK152: !>[X0: $tType, X1: $tType, X2: $tType]:(((configuration_ext @ X1 @ X0 @ X2 @ product_unit > (list @ configuration_ext @ X1 @ X0 @ X2 @ product_unit > list @ message @ X1 @ X0 > list @ configuration_ext @ X1 @ X0 @ X2 @ product_unit) > (list @ configuration_ext @ X1 @ X0 @ X2 @ product_unit > list @ message @ X1 @ X0 > list @ message @ X1 @ X0) > nat > $o) > (configuration_ext @ X1 @ X0 @ X2 @ product_unit > (list @ configuration_ext @ X1 @ X0 @ X2 @ product_unit > list @ message @ X1 @ X0 > list @ configuration_ext @ X1 @ X0 @ X2 @ product_unit) > (list @ configuration_ext @ X1 @ X0 @ X2 @ product_unit > list @ message @ X1 @ X0 > list @ message @ X1 @ X0) > nat > $o) > list @ configuration_ext @ X1 @ X0 @ X2 @ product_unit > list @ message @ X1 @ X0 > list @ message @ X1 @ X0))).
% 12.59/2.09 thf(func_def_225, type, sK153: !>[X0: $tType, X1: $tType, X2: $tType]:(((configuration_ext @ X1 @ X0 @ X2 @ product_unit > (list @ configuration_ext @ X1 @ X0 @ X2 @ product_unit > list @ message @ X1 @ X0 > list @ configuration_ext @ X1 @ X0 @ X2 @ product_unit) > (list @ configuration_ext @ X1 @ X0 @ X2 @ product_unit > list @ message @ X1 @ X0 > list @ message @ X1 @ X0) > nat > $o) > (configuration_ext @ X1 @ X0 @ X2 @ product_unit > (list @ configuration_ext @ X1 @ X0 @ X2 @ product_unit > list @ message @ X1 @ X0 > list @ configuration_ext @ X1 @ X0 @ X2 @ product_unit) > (list @ configuration_ext @ X1 @ X0 @ X2 @ product_unit > list @ message @ X1 @ X0 > list @ message @ X1 @ X0) > nat > $o) > nat))).
% 12.59/2.09 thf(func_def_226, type, sK154: !>[X0: $tType, X1: $tType, X2: $tType]:(((configuration_ext @ X1 @ X0 @ X2 @ product_unit > (list @ configuration_ext @ X1 @ X0 @ X2 @ product_unit > list @ message @ X1 @ X0 > list @ configuration_ext @ X1 @ X0 @ X2 @ product_unit) > (list @ configuration_ext @ X1 @ X0 @ X2 @ product_unit > list @ message @ X1 @ X0 > list @ message @ X1 @ X0) > nat > $o) > (configuration_ext @ X1 @ X0 @ X2 @ product_unit > (list @ configuration_ext @ X1 @ X0 @ X2 @ product_unit > list @ message @ X1 @ X0 > list @ configuration_ext @ X1 @ X0 @ X2 @ product_unit) > (list @ configuration_ext @ X1 @ X0 @ X2 @ product_unit > list @ message @ X1 @ X0 > list @ message @ X1 @ X0) > nat > $o) > configuration_ext @ X1 @ X0 @ X2 @ product_unit))).
% 12.59/2.09 thf(func_def_227, type, sK155: !>[X0: $tType, X1: $tType, X2: $tType]:(((configuration_ext @ X1 @ X0 @ X2 @ product_unit > (list @ configuration_ext @ X1 @ X0 @ X2 @ product_unit > list @ message @ X1 @ X0 > list @ configuration_ext @ X1 @ X0 @ X2 @ product_unit) > (list @ configuration_ext @ X1 @ X0 @ X2 @ product_unit > list @ message @ X1 @ X0 > list @ message @ X1 @ X0) > nat > $o) > (configuration_ext @ X1 @ X0 @ X2 @ product_unit > (list @ configuration_ext @ X1 @ X0 @ X2 @ product_unit > list @ message @ X1 @ X0 > list @ configuration_ext @ X1 @ X0 @ X2 @ product_unit) > (list @ configuration_ext @ X1 @ X0 @ X2 @ product_unit > list @ message @ X1 @ X0 > list @ message @ X1 @ X0) > nat > $o) > list @ configuration_ext @ X1 @ X0 @ X2 @ product_unit > list @ message @ X1 @ X0 > list @ configuration_ext @ X1 @ X0 @ X2 @ product_unit))).
% 12.59/2.09 thf(func_def_228, type, sK156: !>[X0: $tType, X1: $tType, X2: $tType]:(((configuration_ext @ X1 @ X0 @ X2 @ product_unit > (list @ configuration_ext @ X1 @ X0 @ X2 @ product_unit > list @ message @ X1 @ X0 > list @ configuration_ext @ X1 @ X0 @ X2 @ product_unit) > (list @ configuration_ext @ X1 @ X0 @ X2 @ product_unit > list @ message @ X1 @ X0 > list @ message @ X1 @ X0) > nat > $o) > (configuration_ext @ X1 @ X0 @ X2 @ product_unit > (list @ configuration_ext @ X1 @ X0 @ X2 @ product_unit > list @ message @ X1 @ X0 > list @ configuration_ext @ X1 @ X0 @ X2 @ product_unit) > (list @ configuration_ext @ X1 @ X0 @ X2 @ product_unit > list @ message @ X1 @ X0 > list @ message @ X1 @ X0) > nat > $o) > list @ configuration_ext @ X1 @ X0 @ X2 @ product_unit > list @ message @ X1 @ X0 > list @ message @ X1 @ X0))).
% 12.59/2.09 thf(func_def_229, type, sK157: !>[X0: $tType, X1: $tType, X2: $tType]:(((configuration_ext @ X1 @ X0 @ X2 @ product_unit > (list @ configuration_ext @ X1 @ X0 @ X2 @ product_unit > list @ message @ X1 @ X0 > list @ configuration_ext @ X1 @ X0 @ X2 @ product_unit) > (list @ configuration_ext @ X1 @ X0 @ X2 @ product_unit > list @ message @ X1 @ X0 > list @ message @ X1 @ X0) > nat > $o) > (configuration_ext @ X1 @ X0 @ X2 @ product_unit > (list @ configuration_ext @ X1 @ X0 @ X2 @ product_unit > list @ message @ X1 @ X0 > list @ configuration_ext @ X1 @ X0 @ X2 @ product_unit) > (list @ configuration_ext @ X1 @ X0 @ X2 @ product_unit > list @ message @ X1 @ X0 > list @ message @ X1 @ X0) > nat > $o) > nat))).
% 12.59/2.09 thf(func_def_230, type, sK158: !>[X0: $tType, X1: $tType, X2: $tType]:(((configuration_ext @ X0 @ X1 @ X2 @ product_unit > (list @ configuration_ext @ X0 @ X1 @ X2 @ product_unit > list @ message @ X0 @ X1 > list @ configuration_ext @ X0 @ X1 @ X2 @ product_unit) > (list @ configuration_ext @ X0 @ X1 @ X2 @ product_unit > list @ message @ X0 @ X1 > list @ message @ X0 @ X1) > nat > $o) > configuration_ext @ X0 @ X1 @ X2 @ product_unit))).
% 12.59/2.09 thf(func_def_231, type, sK159: !>[X0: $tType, X1: $tType, X2: $tType]:(((configuration_ext @ X0 @ X1 @ X2 @ product_unit > (list @ configuration_ext @ X0 @ X1 @ X2 @ product_unit > list @ message @ X0 @ X1 > list @ configuration_ext @ X0 @ X1 @ X2 @ product_unit) > (list @ configuration_ext @ X0 @ X1 @ X2 @ product_unit > list @ message @ X0 @ X1 > list @ message @ X0 @ X1) > nat > $o) > list @ configuration_ext @ X0 @ X1 @ X2 @ product_unit > list @ message @ X0 @ X1 > list @ configuration_ext @ X0 @ X1 @ X2 @ product_unit))).
% 12.59/2.09 thf(func_def_232, type, sK160: !>[X0: $tType, X1: $tType, X2: $tType]:(((configuration_ext @ X0 @ X1 @ X2 @ product_unit > (list @ configuration_ext @ X0 @ X1 @ X2 @ product_unit > list @ message @ X0 @ X1 > list @ configuration_ext @ X0 @ X1 @ X2 @ product_unit) > (list @ configuration_ext @ X0 @ X1 @ X2 @ product_unit > list @ message @ X0 @ X1 > list @ message @ X0 @ X1) > nat > $o) > list @ configuration_ext @ X0 @ X1 @ X2 @ product_unit > list @ message @ X0 @ X1 > list @ message @ X0 @ X1))).
% 12.59/2.09 thf(func_def_233, type, sK161: !>[X0: $tType, X1: $tType, X2: $tType]:(((configuration_ext @ X0 @ X1 @ X2 @ product_unit > (list @ configuration_ext @ X0 @ X1 @ X2 @ product_unit > list @ message @ X0 @ X1 > list @ configuration_ext @ X0 @ X1 @ X2 @ product_unit) > (list @ configuration_ext @ X0 @ X1 @ X2 @ product_unit > list @ message @ X0 @ X1 > list @ message @ X0 @ X1) > nat > $o) > configuration_ext @ X0 @ X1 @ X2 @ product_unit))).
% 12.59/2.09 thf(func_def_234, type, sK162: !>[X0: $tType, X1: $tType, X2: $tType]:(((configuration_ext @ X0 @ X1 @ X2 @ product_unit > (list @ configuration_ext @ X0 @ X1 @ X2 @ product_unit > list @ message @ X0 @ X1 > list @ configuration_ext @ X0 @ X1 @ X2 @ product_unit) > (list @ configuration_ext @ X0 @ X1 @ X2 @ product_unit > list @ message @ X0 @ X1 > list @ message @ X0 @ X1) > nat > $o) > list @ configuration_ext @ X0 @ X1 @ X2 @ product_unit > list @ message @ X0 @ X1 > list @ configuration_ext @ X0 @ X1 @ X2 @ product_unit))).
% 12.59/2.09 thf(func_def_235, type, sK163: !>[X0: $tType, X1: $tType, X2: $tType]:(((configuration_ext @ X0 @ X1 @ X2 @ product_unit > (list @ configuration_ext @ X0 @ X1 @ X2 @ product_unit > list @ message @ X0 @ X1 > list @ configuration_ext @ X0 @ X1 @ X2 @ product_unit) > (list @ configuration_ext @ X0 @ X1 @ X2 @ product_unit > list @ message @ X0 @ X1 > list @ message @ X0 @ X1) > nat > $o) > list @ configuration_ext @ X0 @ X1 @ X2 @ product_unit > list @ message @ X0 @ X1 > list @ message @ X0 @ X1))).
% 12.59/2.09 thf(func_def_236, type, sK164: !>[X0: $tType, X1: $tType, X2: $tType]:(((configuration_ext @ X1 @ X0 @ X2 @ product_unit > (list @ configuration_ext @ X1 @ X0 @ X2 @ product_unit > list @ message @ X1 @ X0 > list @ configuration_ext @ X1 @ X0 @ X2 @ product_unit) > (list @ configuration_ext @ X1 @ X0 @ X2 @ product_unit > list @ message @ X1 @ X0 > list @ message @ X1 @ X0) > nat > $o) > (configuration_ext @ X1 @ X0 @ X2 @ product_unit > (list @ configuration_ext @ X1 @ X0 @ X2 @ product_unit > list @ message @ X1 @ X0 > list @ configuration_ext @ X1 @ X0 @ X2 @ product_unit) > (list @ configuration_ext @ X1 @ X0 @ X2 @ product_unit > list @ message @ X1 @ X0 > list @ message @ X1 @ X0) > nat > $o) > configuration_ext @ X1 @ X0 @ X2 @ product_unit))).
% 12.59/2.09 thf(func_def_237, type, sK165: !>[X0: $tType, X1: $tType, X2: $tType]:(((configuration_ext @ X1 @ X0 @ X2 @ product_unit > (list @ configuration_ext @ X1 @ X0 @ X2 @ product_unit > list @ message @ X1 @ X0 > list @ configuration_ext @ X1 @ X0 @ X2 @ product_unit) > (list @ configuration_ext @ X1 @ X0 @ X2 @ product_unit > list @ message @ X1 @ X0 > list @ message @ X1 @ X0) > nat > $o) > (configuration_ext @ X1 @ X0 @ X2 @ product_unit > (list @ configuration_ext @ X1 @ X0 @ X2 @ product_unit > list @ message @ X1 @ X0 > list @ configuration_ext @ X1 @ X0 @ X2 @ product_unit) > (list @ configuration_ext @ X1 @ X0 @ X2 @ product_unit > list @ message @ X1 @ X0 > list @ message @ X1 @ X0) > nat > $o) > list @ configuration_ext @ X1 @ X0 @ X2 @ product_unit > list @ message @ X1 @ X0 > list @ configuration_ext @ X1 @ X0 @ X2 @ product_unit))).
% 12.59/2.09 thf(func_def_238, type, sK166: !>[X0: $tType, X1: $tType, X2: $tType]:(((configuration_ext @ X1 @ X0 @ X2 @ product_unit > (list @ configuration_ext @ X1 @ X0 @ X2 @ product_unit > list @ message @ X1 @ X0 > list @ configuration_ext @ X1 @ X0 @ X2 @ product_unit) > (list @ configuration_ext @ X1 @ X0 @ X2 @ product_unit > list @ message @ X1 @ X0 > list @ message @ X1 @ X0) > nat > $o) > (configuration_ext @ X1 @ X0 @ X2 @ product_unit > (list @ configuration_ext @ X1 @ X0 @ X2 @ product_unit > list @ message @ X1 @ X0 > list @ configuration_ext @ X1 @ X0 @ X2 @ product_unit) > (list @ configuration_ext @ X1 @ X0 @ X2 @ product_unit > list @ message @ X1 @ X0 > list @ message @ X1 @ X0) > nat > $o) > list @ configuration_ext @ X1 @ X0 @ X2 @ product_unit > list @ message @ X1 @ X0 > list @ message @ X1 @ X0))).
% 12.59/2.09 thf(func_def_239, type, sK167: !>[X0: $tType, X1: $tType, X2: $tType]:(((configuration_ext @ X1 @ X0 @ X2 @ product_unit > (list @ configuration_ext @ X1 @ X0 @ X2 @ product_unit > list @ message @ X1 @ X0 > list @ configuration_ext @ X1 @ X0 @ X2 @ product_unit) > (list @ configuration_ext @ X1 @ X0 @ X2 @ product_unit > list @ message @ X1 @ X0 > list @ message @ X1 @ X0) > nat > $o) > (configuration_ext @ X1 @ X0 @ X2 @ product_unit > (list @ configuration_ext @ X1 @ X0 @ X2 @ product_unit > list @ message @ X1 @ X0 > list @ configuration_ext @ X1 @ X0 @ X2 @ product_unit) > (list @ configuration_ext @ X1 @ X0 @ X2 @ product_unit > list @ message @ X1 @ X0 > list @ message @ X1 @ X0) > nat > $o) > nat))).
% 12.59/2.09 thf(func_def_240, type, sK168: !>[X0: $tType, X1: $tType, X2: $tType]:(((configuration_ext @ X1 @ X0 @ X2 @ product_unit > (list @ configuration_ext @ X1 @ X0 @ X2 @ product_unit > list @ message @ X1 @ X0 > list @ configuration_ext @ X1 @ X0 @ X2 @ product_unit) > (list @ configuration_ext @ X1 @ X0 @ X2 @ product_unit > list @ message @ X1 @ X0 > list @ message @ X1 @ X0) > nat > $o) > (configuration_ext @ X1 @ X0 @ X2 @ product_unit > (list @ configuration_ext @ X1 @ X0 @ X2 @ product_unit > list @ message @ X1 @ X0 > list @ configuration_ext @ X1 @ X0 @ X2 @ product_unit) > (list @ configuration_ext @ X1 @ X0 @ X2 @ product_unit > list @ message @ X1 @ X0 > list @ message @ X1 @ X0) > nat > $o) > configuration_ext @ X1 @ X0 @ X2 @ product_unit))).
% 12.59/2.09 thf(func_def_241, type, sK169: !>[X0: $tType, X1: $tType, X2: $tType]:(((configuration_ext @ X1 @ X0 @ X2 @ product_unit > (list @ configuration_ext @ X1 @ X0 @ X2 @ product_unit > list @ message @ X1 @ X0 > list @ configuration_ext @ X1 @ X0 @ X2 @ product_unit) > (list @ configuration_ext @ X1 @ X0 @ X2 @ product_unit > list @ message @ X1 @ X0 > list @ message @ X1 @ X0) > nat > $o) > (configuration_ext @ X1 @ X0 @ X2 @ product_unit > (list @ configuration_ext @ X1 @ X0 @ X2 @ product_unit > list @ message @ X1 @ X0 > list @ configuration_ext @ X1 @ X0 @ X2 @ product_unit) > (list @ configuration_ext @ X1 @ X0 @ X2 @ product_unit > list @ message @ X1 @ X0 > list @ message @ X1 @ X0) > nat > $o) > list @ configuration_ext @ X1 @ X0 @ X2 @ product_unit > list @ message @ X1 @ X0 > list @ configuration_ext @ X1 @ X0 @ X2 @ product_unit))).
% 12.59/2.09 thf(func_def_242, type, sK170: !>[X0: $tType, X1: $tType, X2: $tType]:(((configuration_ext @ X1 @ X0 @ X2 @ product_unit > (list @ configuration_ext @ X1 @ X0 @ X2 @ product_unit > list @ message @ X1 @ X0 > list @ configuration_ext @ X1 @ X0 @ X2 @ product_unit) > (list @ configuration_ext @ X1 @ X0 @ X2 @ product_unit > list @ message @ X1 @ X0 > list @ message @ X1 @ X0) > nat > $o) > (configuration_ext @ X1 @ X0 @ X2 @ product_unit > (list @ configuration_ext @ X1 @ X0 @ X2 @ product_unit > list @ message @ X1 @ X0 > list @ configuration_ext @ X1 @ X0 @ X2 @ product_unit) > (list @ configuration_ext @ X1 @ X0 @ X2 @ product_unit > list @ message @ X1 @ X0 > list @ message @ X1 @ X0) > nat > $o) > list @ configuration_ext @ X1 @ X0 @ X2 @ product_unit > list @ message @ X1 @ X0 > list @ message @ X1 @ X0))).
% 12.59/2.09 thf(func_def_243, type, sK171: !>[X0: $tType, X1: $tType, X2: $tType]:(((configuration_ext @ X1 @ X0 @ X2 @ product_unit > (list @ configuration_ext @ X1 @ X0 @ X2 @ product_unit > list @ message @ X1 @ X0 > list @ configuration_ext @ X1 @ X0 @ X2 @ product_unit) > (list @ configuration_ext @ X1 @ X0 @ X2 @ product_unit > list @ message @ X1 @ X0 > list @ message @ X1 @ X0) > nat > $o) > (configuration_ext @ X1 @ X0 @ X2 @ product_unit > (list @ configuration_ext @ X1 @ X0 @ X2 @ product_unit > list @ message @ X1 @ X0 > list @ configuration_ext @ X1 @ X0 @ X2 @ product_unit) > (list @ configuration_ext @ X1 @ X0 @ X2 @ product_unit > list @ message @ X1 @ X0 > list @ message @ X1 @ X0) > nat > $o) > nat))).
% 12.59/2.09 thf(func_def_244, type, sK172: !>[X0: $tType, X1: $tType, X2: $tType]:(((configuration_ext @ X0 @ X1 @ X2 @ product_unit > (list @ configuration_ext @ X0 @ X1 @ X2 @ product_unit > list @ message @ X0 @ X1 > list @ configuration_ext @ X0 @ X1 @ X2 @ product_unit) > (list @ configuration_ext @ X0 @ X1 @ X2 @ product_unit > list @ message @ X0 @ X1 > list @ message @ X0 @ X1) > nat > $o) > configuration_ext @ X0 @ X1 @ X2 @ product_unit))).
% 12.59/2.09 thf(func_def_245, type, sK173: !>[X0: $tType, X1: $tType, X2: $tType]:(((configuration_ext @ X0 @ X1 @ X2 @ product_unit > (list @ configuration_ext @ X0 @ X1 @ X2 @ product_unit > list @ message @ X0 @ X1 > list @ configuration_ext @ X0 @ X1 @ X2 @ product_unit) > (list @ configuration_ext @ X0 @ X1 @ X2 @ product_unit > list @ message @ X0 @ X1 > list @ message @ X0 @ X1) > nat > $o) > list @ configuration_ext @ X0 @ X1 @ X2 @ product_unit > list @ message @ X0 @ X1 > list @ configuration_ext @ X0 @ X1 @ X2 @ product_unit))).
% 12.59/2.09 thf(func_def_246, type, sK174: !>[X0: $tType, X1: $tType, X2: $tType]:(((configuration_ext @ X0 @ X1 @ X2 @ product_unit > (list @ configuration_ext @ X0 @ X1 @ X2 @ product_unit > list @ message @ X0 @ X1 > list @ configuration_ext @ X0 @ X1 @ X2 @ product_unit) > (list @ configuration_ext @ X0 @ X1 @ X2 @ product_unit > list @ message @ X0 @ X1 > list @ message @ X0 @ X1) > nat > $o) > list @ configuration_ext @ X0 @ X1 @ X2 @ product_unit > list @ message @ X0 @ X1 > list @ message @ X0 @ X1))).
% 12.59/2.09 thf(func_def_247, type, sK175: !>[X0: $tType, X1: $tType, X2: $tType]:(((configuration_ext @ X0 @ X1 @ X2 @ product_unit > (list @ configuration_ext @ X0 @ X1 @ X2 @ product_unit > list @ message @ X0 @ X1 > list @ configuration_ext @ X0 @ X1 @ X2 @ product_unit) > (list @ configuration_ext @ X0 @ X1 @ X2 @ product_unit > list @ message @ X0 @ X1 > list @ message @ X0 @ X1) > nat > $o) > configuration_ext @ X0 @ X1 @ X2 @ product_unit))).
% 12.59/2.09 thf(func_def_248, type, sK176: !>[X0: $tType, X1: $tType, X2: $tType]:(((configuration_ext @ X0 @ X1 @ X2 @ product_unit > (list @ configuration_ext @ X0 @ X1 @ X2 @ product_unit > list @ message @ X0 @ X1 > list @ configuration_ext @ X0 @ X1 @ X2 @ product_unit) > (list @ configuration_ext @ X0 @ X1 @ X2 @ product_unit > list @ message @ X0 @ X1 > list @ message @ X0 @ X1) > nat > $o) > list @ configuration_ext @ X0 @ X1 @ X2 @ product_unit > list @ message @ X0 @ X1 > list @ configuration_ext @ X0 @ X1 @ X2 @ product_unit))).
% 12.59/2.09 thf(func_def_249, type, sK177: !>[X0: $tType, X1: $tType, X2: $tType]:(((configuration_ext @ X0 @ X1 @ X2 @ product_unit > (list @ configuration_ext @ X0 @ X1 @ X2 @ product_unit > list @ message @ X0 @ X1 > list @ configuration_ext @ X0 @ X1 @ X2 @ product_unit) > (list @ configuration_ext @ X0 @ X1 @ X2 @ product_unit > list @ message @ X0 @ X1 > list @ message @ X0 @ X1) > nat > $o) > list @ configuration_ext @ X0 @ X1 @ X2 @ product_unit > list @ message @ X0 @ X1 > list @ message @ X0 @ X1))).
% 12.59/2.10 thf(func_def_250, type, sK178: !>[X0: $tType]:(((X0 > $o) > (X0 > $o) > X0))).
% 12.59/2.10 thf(func_def_251, type, sK179: !>[X0: $tType, X1: $tType]:(((X1 > X0) > (X1 > X0) > X1))).
% 12.59/2.10 thf(func_def_252, type, sK180: !>[X0: $tType, X1: $tType, X2: $tType]:((list @ message @ X0 @ X1 > nat > (list @ configuration_ext @ X0 @ X1 @ X2 @ product_unit > list @ message @ X0 @ X1 > list @ message @ X0 @ X1) > (list @ configuration_ext @ X0 @ X1 @ X2 @ product_unit > list @ message @ X0 @ X1 > list @ configuration_ext @ X0 @ X1 @ X2 @ product_unit) > configuration_ext @ X0 @ X1 @ X2 @ product_unit > nat))).
% 12.59/2.10 thf(func_def_253, type, sK181: !>[X0: $tType, X1: $tType, X2: $tType]:((list @ configuration_ext @ X0 @ X1 @ X2 @ product_unit > nat > (list @ configuration_ext @ X0 @ X1 @ X2 @ product_unit > list @ message @ X0 @ X1 > list @ message @ X0 @ X1) > (list @ configuration_ext @ X0 @ X1 @ X2 @ product_unit > list @ message @ X0 @ X1 > list @ configuration_ext @ X0 @ X1 @ X2 @ product_unit) > configuration_ext @ X0 @ X1 @ X2 @ product_unit > nat))).
% 12.59/2.10 thf(func_def_254, type, sK182: ((nat > $o) > nat)).
% 12.59/2.10 thf(func_def_255, type, sK183: (nat > nat)).
% 12.59/2.10 thf(func_def_256, type, sK184: ((nat > $o) > nat)).
% 12.59/2.10 thf(func_def_257, type, sK185: (nat > nat)).
% 12.59/2.10 thf(func_def_258, type, sK186: ((nat > $o) > nat)).
% 12.59/2.10 thf(func_def_259, type, sK187: ((nat > nat > $o) > nat)).
% 12.59/2.10 thf(func_def_260, type, sK188: ((nat > nat > $o) > nat)).
% 12.59/2.10 thf(func_def_261, type, sK189: ((nat > nat > $o) > nat)).
% 12.59/2.10 thf(func_def_262, type, sK190: ((nat > nat > $o) > nat)).
% 12.59/2.10 thf(func_def_263, type, sK191: !>[X0: $tType]:(((nat > X0 > $o) > (nat > X0 > X0 > $o) > X0))).
% 12.59/2.10 thf(func_def_264, type, sK192: !>[X0: $tType]:(((nat > X0 > $o) > (nat > X0 > X0 > $o) > nat))).
% 12.59/2.10 thf(func_def_265, type, sK193: !>[X0: $tType]:(((nat > X0 > X0 > $o) > (nat > X0 > $o) > nat > X0))).
% 12.59/2.10 thf(func_def_266, type, sK194: !>[X0: $tType, X1: $tType]:((list @ X1 > list @ X1 > list @ X0 > (X0 > X1) > X0))).
% 12.59/2.10 thf(func_def_267, type, sK195: !>[X0: $tType, X1: $tType]:((list @ X1 > list @ X1 > list @ X0 > (X0 > X1) > list @ X0))).
% 12.59/2.10 thf(func_def_268, type, sK196: !>[X0: $tType, X1: $tType]:((list @ X0 > X1 > X0 > (X1 > X0 > $o) > list @ X1 > list @ X0))).
% 12.59/2.10 thf(func_def_269, type, sK197: !>[X0: $tType, X1: $tType]:((list @ X1 > list @ X0 > (X0 > X1 > $o) > X0))).
% 12.59/2.10 thf(func_def_270, type, sK198: !>[X0: $tType, X1: $tType]:((list @ X1 > list @ X0 > (X0 > X1 > $o) > X1))).
% 12.59/2.10 thf(func_def_271, type, sK199: !>[X0: $tType, X1: $tType]:((list @ X1 > list @ X0 > (X0 > X1 > $o) > list @ X0))).
% 12.59/2.10 thf(func_def_272, type, sK200: !>[X0: $tType, X1: $tType]:(((X1 > X0 > $o) > (list @ X1 > list @ X0 > $o) > X1))).
% 12.59/2.10 thf(func_def_273, type, sK201: !>[X0: $tType, X1: $tType]:(((X1 > X0 > $o) > (list @ X1 > list @ X0 > $o) > X0))).
% 12.59/2.10 thf(func_def_274, type, sK202: !>[X0: $tType, X1: $tType]:(((X1 > X0 > $o) > (list @ X1 > list @ X0 > $o) > list @ X1))).
% 12.59/2.10 thf(func_def_275, type, sK203: !>[X0: $tType, X1: $tType]:(((X1 > X0 > $o) > (list @ X1 > list @ X0 > $o) > list @ X0))).
% 12.59/2.10 thf(func_def_276, type, sK204: !>[X0: $tType]:(((X0 > X0 > $o) > (list @ X0 > list @ X0 > $o) > X0))).
% 12.59/2.10 thf(func_def_277, type, sK205: !>[X0: $tType]:(((X0 > X0 > $o) > (list @ X0 > list @ X0 > $o) > X0))).
% 12.59/2.10 thf(func_def_278, type, sK206: !>[X0: $tType]:(((X0 > X0 > $o) > (list @ X0 > list @ X0 > $o) > list @ X0))).
% 12.59/2.10 thf(func_def_279, type, sK207: !>[X0: $tType]:(((X0 > X0 > $o) > (list @ X0 > list @ X0 > $o) > list @ X0))).
% 12.59/2.10 thf(func_def_280, type, sK208: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > (X0 > X0 > $o) > X0))).
% 12.59/2.10 thf(func_def_281, type, sK209: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > (X0 > X0 > $o) > X0))).
% 12.59/2.10 thf(func_def_282, type, sK210: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > (X0 > X0 > $o) > list @ X0))).
% 12.59/2.10 thf(func_def_283, type, sK211: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > (X0 > X0 > $o) > list @ X0))).
% 12.59/2.10 thf(func_def_284, type, sK212: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > list @ X0))).
% 12.59/2.10 thf(func_def_285, type, sK213: !>[X0: $tType]:((list @ X0 > list @ X0 > (X0 > X0 > $o) > X0))).
% 12.59/2.10 thf(func_def_286, type, sK214: !>[X0: $tType]:((list @ X0 > list @ X0 > (X0 > X0 > $o) > list @ X0))).
% 12.59/2.10 thf(func_def_287, type, sK215: !>[X0: $tType]:((list @ X0 > X0 > X0 > (X0 > X0 > $o) > list @ X0 > list @ X0))).
% 12.59/2.10 thf(func_def_288, type, sK216: !>[X0: $tType]:((list @ X0 > (X0 > X0 > $o) > X0 > X0))).
% 12.59/2.10 thf(func_def_289, type, sK217: !>[X0: $tType]:((list @ X0 > (X0 > X0 > $o) > X0 > list @ X0))).
% 12.59/2.10 thf(func_def_290, type, sK218: !>[X0: $tType]:((list @ X0 > list @ X0 > (X0 > X0 > $o) > X0))).
% 12.59/2.10 thf(func_def_291, type, sK219: !>[X0: $tType]:((list @ X0 > list @ X0 > (X0 > X0 > $o) > X0))).
% 12.59/2.10 thf(func_def_292, type, sK220: !>[X0: $tType]:((list @ X0 > list @ X0 > (X0 > X0 > $o) > list @ X0))).
% 12.59/2.10 thf(func_def_293, type, sK221: !>[X0: $tType]:((list @ X0 > list @ X0 > X0))).
% 12.59/2.10 thf(func_def_294, type, sK222: !>[X0: $tType]:((list @ X0 > list @ X0 > list @ X0))).
% 12.59/2.10 thf(func_def_295, type, sK223: !>[X0: $tType]:((list @ X0 > X0 > X0 > list @ X0 > list @ X0))).
% 12.59/2.10 thf(func_def_296, type, sK224: !>[X0: $tType]:((list @ X0 > X0 > X0))).
% 12.59/2.10 thf(func_def_297, type, sK225: !>[X0: $tType]:((list @ X0 > X0 > list @ X0))).
% 12.59/2.10 thf(func_def_298, type, sK226: !>[X0: $tType]:((list @ X0 > list @ X0 > X0))).
% 12.59/2.10 thf(func_def_299, type, sK227: !>[X0: $tType]:((list @ X0 > list @ X0 > X0))).
% 12.59/2.10 thf(func_def_300, type, sK228: !>[X0: $tType]:((list @ X0 > list @ X0 > list @ X0))).
% 12.59/2.10 thf(func_def_301, type, sK229: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > X0))).
% 12.59/2.10 thf(func_def_302, type, sK230: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > X0))).
% 12.59/2.10 thf(func_def_303, type, sK231: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > list @ X0))).
% 12.59/2.10 thf(func_def_304, type, sK232: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > list @ X0))).
% 12.59/2.10 thf(func_def_305, type, sK233: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > X0))).
% 12.59/2.10 thf(func_def_306, type, sK234: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > X0))).
% 12.59/2.10 thf(func_def_307, type, sK235: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > list @ X0))).
% 12.59/2.10 thf(func_def_308, type, sK236: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > list @ X0))).
% 12.59/2.10 thf(func_def_309, type, sK237: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > list @ X0))).
% 12.59/2.10 thf(func_def_310, type, sK238: !>[X0: $tType]:((list @ X0 > list @ X0 > list @ X0 > X0))).
% 12.59/2.10 thf(func_def_311, type, sK239: !>[X0: $tType]:((list @ X0 > list @ X0 > list @ X0 > list @ X0))).
% 12.59/2.10 thf(func_def_312, type, sK240: !>[X0: $tType]:(((X0 > nat) > (X0 > $o) > X0))).
% 12.59/2.10 thf(func_def_313, type, sK241: !>[X0: $tType]:(((X0 > $o) > (X0 > nat) > X0))).
% 12.59/2.10 thf(func_def_314, type, sK242: ((nat > $o) > nat)).
% 12.59/2.10 thf(func_def_315, type, sK243: (nat > nat > nat)).
% 12.59/2.10 thf(func_def_316, type, sK244: (nat > nat > nat)).
% 12.59/2.10 thf(func_def_317, type, sK245: ((nat > nat > $o) > nat)).
% 12.59/2.10 thf(func_def_318, type, sK246: ((nat > nat > $o) > nat)).
% 12.59/2.10 thf(func_def_319, type, sK247: ((nat > nat > $o) > nat)).
% 12.59/2.10 thf(func_def_320, type, sK248: ((nat > nat > $o) > nat)).
% 12.59/2.10 thf(func_def_321, type, sK249: (nat > (nat > $o) > nat)).
% 12.59/2.10 thf(func_def_322, type, sK250: ((nat > $o) > nat > nat)).
% 12.59/2.10 thf(func_def_323, type, sK251: !>[X0: $tType, X1: $tType]:(((X1 > $o) > (X1 > X0) > X1))).
% 12.59/2.10 thf(func_def_324, type, sK252: !>[X0: $tType, X1: $tType]:(((X1 > $o) > (X1 > X0) > X1))).
% 12.59/2.10 thf(func_def_325, type, sK253: !>[X0: $tType]:(((nat > X0) > nat))).
% 12.59/2.10 thf(func_def_326, type, sK254: !>[X0: $tType]:(((nat > X0) > nat))).
% 12.59/2.10 thf(func_def_327, type, sK255: (nat > nat)).
% 12.59/2.10 thf(func_def_328, type, sK256: (nat > (nat > $o) > nat)).
% 12.59/2.10 thf(func_def_329, type, sK257: !>[X0: $tType]:((list @ X0 > list @ X0 > X0))).
% 12.59/2.10 thf(func_def_330, type, sK258: !>[X0: $tType]:((list @ X0 > list @ X0 > list @ X0))).
% 12.59/2.10 thf(func_def_331, type, sK259: !>[X0: $tType]:((list @ X0 > X0))).
% 12.59/2.10 thf(func_def_332, type, sK260: !>[X0: $tType]:((list @ X0 > list @ X0))).
% 12.59/2.10 thf(func_def_333, type, sK261: !>[X0: $tType]:((list @ X0 > X0 > X0 > list @ X0 > list @ X0))).
% 12.59/2.10 thf(func_def_334, type, sK262: !>[X0: $tType]:((list @ X0 > X0 > X0))).
% 12.59/2.10 thf(func_def_335, type, sK263: !>[X0: $tType]:((list @ X0 > X0 > list @ X0))).
% 12.59/2.10 thf(func_def_336, type, sK264: !>[X0: $tType]:((list @ X0 > list @ X0 > X0))).
% 12.59/2.10 thf(func_def_337, type, sK265: !>[X0: $tType]:((list @ X0 > list @ X0 > X0))).
% 12.59/2.10 thf(func_def_338, type, sK266: !>[X0: $tType]:((list @ X0 > list @ X0 > list @ X0))).
% 12.59/2.10 thf(func_def_339, type, sK267: !>[X0: $tType]:(X0)).
% 12.59/2.10 thf(func_def_340, type, sK268: !>[X0: $tType]:(((X0 > nat) > (X0 > $o) > X0))).
% 12.59/2.10 thf(func_def_341, type, sK269: ((nat > $o) > nat)).
% 12.59/2.10 thf(func_def_342, type, sK270: ((nat > $o) > nat)).
% 12.59/2.10 thf(func_def_343, type, sK271: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > X0))).
% 12.59/2.10 thf(func_def_344, type, sK272: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > list @ X0))).
% 12.59/2.10 thf(func_def_345, type, sK273: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > list @ X0))).
% 12.59/2.10 thf(func_def_346, type, sK274: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > X0))).
% 12.59/2.10 thf(func_def_347, type, sK275: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > list @ X0))).
% 12.59/2.10 thf(func_def_348, type, sK276: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > X0))).
% 12.59/2.10 thf(func_def_349, type, sK277: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > list @ X0))).
% 12.59/2.10 thf(func_def_350, type, sK278: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > X0))).
% 12.59/2.10 thf(func_def_351, type, sK279: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > list @ X0))).
% 12.59/2.10 thf(func_def_352, type, sK280: !>[X0: $tType]:((list @ X0 > list @ X0 > X0))).
% 12.59/2.10 thf(func_def_353, type, sK281: !>[X0: $tType]:((list @ X0 > list @ X0 > list @ X0))).
% 12.59/2.10 thf(func_def_354, type, sK282: !>[X0: $tType]:((list @ X0 > X0))).
% 12.59/2.10 thf(func_def_355, type, sK283: !>[X0: $tType]:((list @ X0 > list @ X0))).
% 12.59/2.10 thf(func_def_356, type, sK284: !>[X0: $tType]:((X0 > list @ X0 > list @ X0 > list @ X0))).
% 12.59/2.10 thf(func_def_357, type, sK285: !>[X0: $tType]:((list @ X0 > X0 > X0))).
% 12.59/2.10 thf(func_def_358, type, sK286: !>[X0: $tType]:((list @ X0 > X0 > list @ X0))).
% 12.59/2.10 thf(func_def_359, type, sK287: !>[X0: $tType]:((list @ X0 > list @ X0 > X0))).
% 12.59/2.10 thf(func_def_360, type, sK288: !>[X0: $tType]:((list @ X0 > list @ X0 > list @ X0))).
% 12.59/2.10 thf(func_def_361, type, sK289: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > X0))).
% 12.59/2.10 thf(func_def_362, type, sK290: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > X0))).
% 12.59/2.10 thf(func_def_363, type, sK291: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > list @ X0))).
% 12.59/2.10 thf(func_def_364, type, sK292: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > list @ X0))).
% 12.59/2.10 thf(func_def_365, type, sK293: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > X0))).
% 12.59/2.10 thf(func_def_366, type, sK294: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > X0))).
% 12.59/2.10 thf(func_def_367, type, sK295: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > list @ X0))).
% 12.59/2.10 thf(func_def_368, type, sK296: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > list @ X0))).
% 12.59/2.10 thf(func_def_369, type, sK297: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > X0))).
% 12.59/2.10 thf(func_def_370, type, sK298: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > list @ X0))).
% 12.59/2.10 thf(func_def_371, type, sK299: !>[X0: $tType]:(((list @ X0 > $o) > list @ X0))).
% 12.59/2.10 thf(func_def_372, type, sK300: !>[X0: $tType, X1: $tType]:(((list @ X1 > list @ X0 > $o) > X1))).
% 12.59/2.10 thf(func_def_373, type, sK301: !>[X0: $tType, X1: $tType]:(((list @ X1 > list @ X0 > $o) > list @ X1))).
% 12.59/2.10 thf(func_def_374, type, sK302: !>[X0: $tType, X1: $tType]:(((list @ X1 > list @ X0 > $o) > X0))).
% 12.59/2.10 thf(func_def_375, type, sK303: !>[X0: $tType, X1: $tType]:(((list @ X1 > list @ X0 > $o) > list @ X0))).
% 12.59/2.10 thf(func_def_376, type, sK304: !>[X0: $tType, X1: $tType, X2: $tType]:(((list @ X2 > list @ X1 > list @ X0 > $o) > X2))).
% 12.59/2.10 thf(func_def_377, type, sK305: !>[X0: $tType, X1: $tType, X2: $tType]:(((list @ X2 > list @ X1 > list @ X0 > $o) > list @ X2))).
% 12.59/2.10 thf(func_def_378, type, sK306: !>[X0: $tType, X1: $tType, X2: $tType]:(((list @ X2 > list @ X1 > list @ X0 > $o) > X1))).
% 12.59/2.10 thf(func_def_379, type, sK307: !>[X0: $tType, X1: $tType, X2: $tType]:(((list @ X2 > list @ X1 > list @ X0 > $o) > list @ X1))).
% 12.59/2.10 thf(func_def_380, type, sK308: !>[X0: $tType, X1: $tType, X2: $tType]:(((list @ X2 > list @ X1 > list @ X0 > $o) > X0))).
% 12.59/2.10 thf(func_def_381, type, sK309: !>[X0: $tType, X1: $tType, X2: $tType]:(((list @ X2 > list @ X1 > list @ X0 > $o) > list @ X0))).
% 12.59/2.10 thf(func_def_382, type, sK310: ((nat > $o) > nat)).
% 12.59/2.10 thf(func_def_383, type, sK311: !>[X0: $tType]:((nat > list @ X0))).
% 12.59/2.10 thf(func_def_384, type, sK312: !>[X0: $tType]:((nat > list @ X0 > list @ X0))).
% 12.59/2.10 thf(func_def_385, type, sK313: !>[X0: $tType]:((nat > list @ X0 > X0))).
% 12.59/2.10 thf(func_def_386, type, sK314: !>[X0: $tType]:((list @ X0 > nat > list @ X0))).
% 12.59/2.10 thf(func_def_387, type, sK315: !>[X0: $tType]:((list @ X0 > nat > X0))).
% 12.59/2.10 thf(func_def_388, type, sK316: ((nat > $o) > nat > nat)).
% 12.59/2.10 thf(func_def_389, type, sK317: ((nat > $o) > nat > nat)).
% 12.59/2.10 thf(func_def_390, type, sK318: (nat > nat)).
% 12.59/2.10 thf(func_def_391, type, sK319: ((nat > $o) > nat > nat)).
% 12.59/2.10 thf(func_def_392, type, sK320: ((nat > $o) > nat > nat)).
% 12.59/2.10 thf(func_def_393, type, sK321: (nat > nat > nat)).
% 12.59/2.10 thf(func_def_394, type, sK322: (nat > nat > nat)).
% 12.59/2.10 thf(func_def_395, type, sK323: ((nat > $o) > nat > nat)).
% 12.59/2.10 thf(func_def_396, type, sK324: ((nat > $o) > nat > nat)).
% 12.59/2.10 thf(func_def_397, type, sK325: ((nat > $o) > nat > nat)).
% 12.59/2.10 thf(func_def_398, type, sK326: ((nat > $o) > nat > nat)).
% 12.59/2.10 thf(func_def_399, type, sK327: !>[X0: $tType]:((list @ X0 > list @ X0))).
% 12.59/2.10 thf(func_def_400, type, sK328: !>[X0: $tType]:((list @ X0 > X0))).
% 12.59/2.10 thf(f2,axiom,(
% 12.59/2.10 (fe = ((fLPThe137922386ionCfg @ p @ v @ s @ cfg @ fStepCfg @ fStepMsg)))),
% 12.59/2.10 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1_fe__def)).
% 12.59/2.10 thf(f3,axiom,(
% 12.59/2.10 ! [X0 : configuration_ext @ p @ v @ s @ product_unit,X1 : (list @ configuration_ext @ p @ v @ s @ product_unit > list @ message @ p @ v > list @ configuration_ext @ p @ v @ s @ product_unit),X2 : (list @ configuration_ext @ p @ v @ s @ product_unit > list @ message @ p @ v > list @ message @ p @ v)] : (((fLPThe137922386ionCfg @ p @ v @ s @ X0 @ X1 @ X2 @ zero_zero @ nat)) = ((cons @ configuration_ext @ p @ v @ s @ product_unit @ X0 @ nil @ configuration_ext @ p @ v @ s @ product_unit)))),
% 12.59/2.10 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_2_infiniteExecutionCfg_Osimps_I1_J)).
% 12.59/2.10 thf(f279,conjecture,(
% 12.59/2.10 (((fe @ zero_zero @ nat)) = ((cons @ configuration_ext @ p @ v @ s @ product_unit @ cfg @ nil @ configuration_ext @ p @ v @ s @ product_unit)))),
% 12.59/2.10 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0)).
% 12.59/2.10 thf(f280,negated_conjecture,(
% 12.59/2.10 ~ (((fe @ zero_zero @ nat)) = ((cons @ configuration_ext @ p @ v @ s @ product_unit @ cfg @ nil @ configuration_ext @ p @ v @ s @ product_unit)))),
% 12.59/2.10 inference(negated_conjecture,[status(cth)],[f279])).
% 12.59/2.10 thf(f745,plain,(
% 12.59/2.10 (((fe @ zero_zero @ nat)) != ((cons @ configuration_ext @ p @ v @ s @ product_unit @ cfg @ nil @ configuration_ext @ p @ v @ s @ product_unit)))),
% 12.59/2.10 inference(flattening,[],[f280])).
% 12.59/2.10 thf(f1279,plain,(
% 12.59/2.10 (fe = ((fLPThe137922386ionCfg @ p @ v @ s @ cfg @ fStepCfg @ fStepMsg)))),
% 12.59/2.10 inference(cnf_transformation,[],[f2])).
% 12.59/2.10 thf(f1280,plain,(
% 12.59/2.10 ( ! [X2 : (list @ configuration_ext @ p @ v @ s @ product_unit > list @ message @ p @ v > list @ message @ p @ v),X0 : configuration_ext @ p @ v @ s @ product_unit,X1 : (list @ configuration_ext @ p @ v @ s @ product_unit > list @ message @ p @ v > list @ configuration_ext @ p @ v @ s @ product_unit)] : ((((fLPThe137922386ionCfg @ p @ v @ s @ X0 @ X1 @ X2 @ zero_zero @ nat)) = ((cons @ configuration_ext @ p @ v @ s @ product_unit @ X0 @ nil @ configuration_ext @ p @ v @ s @ product_unit)))) )),
% 12.59/2.10 inference(cnf_transformation,[],[f3])).
% 12.59/2.10 thf(f1733,plain,(
% 12.59/2.10 (((fe @ zero_zero @ nat)) != ((cons @ configuration_ext @ p @ v @ s @ product_unit @ cfg @ nil @ configuration_ext @ p @ v @ s @ product_unit)))),
% 12.59/2.10 inference(cnf_transformation,[],[f745])).
% 12.59/2.10 thf(f1749,plain,(
% 12.59/2.10 (((cons @ configuration_ext @ p @ v @ s @ product_unit @ cfg @ nil @ configuration_ext @ p @ v @ s @ product_unit)) != ((fLPThe137922386ionCfg @ p @ v @ s @ cfg @ fStepCfg @ fStepMsg @ zero_zero @ nat)))),
% 12.59/2.10 inference(definition_unfolding,[],[f1733,f1279])).
% 12.59/2.10 thf(f9463,plain,(
% 12.59/2.10 (((cons @ configuration_ext @ p @ v @ s @ product_unit @ cfg @ nil @ configuration_ext @ p @ v @ s @ product_unit)) != ((cons @ configuration_ext @ p @ v @ s @ product_unit @ cfg @ nil @ configuration_ext @ p @ v @ s @ product_unit)))),
% 12.59/2.10 inference(constrained_superposition,[],[f1749,f1280])).
% 12.59/2.10 thf(f9464,plain,(
% 12.59/2.10 $false),
% 12.59/2.10 inference(trivial_inequality_removal,[],[f9463])).
% 12.59/2.10 % SZS output end Proof for theBenchmark
% 12.59/2.10 % (3824819)------------------------------
% 12.59/2.10 % (3824819)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.59/2.10 % (3824819)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.59/2.10 % (3824819)CaDiCaL version: 2.1.3
% 12.59/2.10 % (3824819)Termination reason: Refutation
% 12.59/2.10 % (3824819)Time elapsed: 0.557 s
% 12.59/2.10 % (3824819)Peak memory usage: 21 MB
% 12.59/2.10 % (3824819)Instructions burned: 1104 (million)
% 12.59/2.10 % (3824698)Success in time 1.851 s
% 12.59/2.10 % Vampire exiting
%------------------------------------------------------------------------------